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Two dimensional numerical analysis of conduction equation in cartesian coordinates

I. Steady state analysis: Steady state conduction equation in two dimensional cartesian coordinate system is given below: `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0` Upon discretizing the spatial derivatives using central difference scheme, we get: `(T_(i+1,j)-2T_(i,j)+T_(i-1,j))/(Deltax^2)+(T_(i,j+1)-2T_(i,j)+T_(i,j-1))/(Deltay^2)=0`…

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    Read more Projects by GAURAV KATIYAR (38)

    Week 9 - PCB Thermal Simulation

    Objective:

    Aim To create a model for PCB - by importing the PCB layout, library files and traces to ANSYS Icepak - and perform thermal analysis of the same for the following three cases: 1. The model is solved only for conduction, without the components. 2. The model is solved for forced convection with the actual components. 3.…

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    26 Feb 2021 02:45 PM IST

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      Week 8 - Natural Convection-II

      Objective:

      I. Aim To buid the model for a low-voltage control-panel, as per the given specifications, and perform steady-state thermal analysis of the same. II. Introduction In the current project, the following tasks are performed: 1. The model for a low-voltage control panel is created in ANSYS Icepak using the following given…

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      11 Jan 2021 09:34 AM IST

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        Week 7 - Mid-term Project - Natural Convection

        Objective:

        I. Aim To design a low voltage control panel, as per the given specifications, and perform thermal analysis of the same. II. Introduction In the current project, the following tasks are performed: 1. The model for a low-voltage control panel is designed in ANSYS Icepak using the following given information: 1.1. The…

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        01 Jan 2021 09:33 AM IST

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          Thermal simulation of an electronic enclosure assembly - I

          Objective:

          I. Aim To simplify the given CAD model of an electronic enclosure assembly and perform thermal analysis of the same. II. Introduction In the current project, the following tasks are performed: 1. The given CAD model is simplified into an Icepak model using the commands available in ANSYS SpaceClaim. 2. The model is imported…

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          13 Dec 2020 07:51 AM IST

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            Thermal simulation of an electronic enclosure assembly - II

            Objective:

            I. Aim To perform thermal simulation of the given model of an electronic enclosure assembly. II. Introduction In the current project, steady-state simulation of the given model of an electronic enclosure assembly is performed using ANSYS Icepak. Suitable power generation values are assigned to various objects in the model…

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            13 Dec 2020 07:50 AM IST

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              Thermal simulation of an electronic enclosure assembly with an intake fan

              Objective:

              I. Aim To simplify the given CAD model of an electronic enclosure assembly and perform thermal analysis of the same. II. Introduction In the current project, the following tasks are performed: 1. The given CAD model is simplified into an Icepak model using the commands available in ANSYS SpaceClaim. 2. The model is imported…

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              05 Nov 2020 11:23 AM IST

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                Week 5.2 - Multi Level Meshing

                Objective:

                I. Aim Apply multi-level meshing to resolve the CAD objects in the given Icepak model, and reduce the original mesh count. II. Introduction The given Icepak model contains the following two CAD objects: i. SheetMetal_HS ii. guide_sweep-0_1.1 In order to resolve these CAD objects and avoid mesh bleeding the model employs…

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                05 Oct 2020 08:05 PM IST

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                  Transient simulation of a cold plate model using ANSYS Icepak

                  Objective:

                  I. Aim To perform CFD analysis of a model consisting of two heated plates, cooled by water circulating inside the cold-plate cavity, as well as by air driven by natural convection externally. II. Introduction In the current project, the following activities are performed: i. The model is designed in ANSYS Icepak using…

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                  29 Sep 2020 07:23 AM IST

                  • CFD
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                  Conformal Meshing of an Electronic enclosure assembly

                  Objective:

                  I. Aim To create a conformal mesh for the given Icepak model of an electronic enclosure assembly. II. Introduction In the current project, conformal mesh is created for the Icepak model shown in the image attached below. III. Theory Meshing discretizes the physical domain into elements/cells. Within each of these elements/cells…

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                  11 Sep 2020 11:49 AM IST

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                  Geometry simplification of an Electronic enclosure assembly

                  Objective:

                  I. Aim To perform geometry simplification of the given CAD model of an electronic enclosure assembly in ANSYS SpaceClaim and import it to ANSYS Icepak. II. Introduction In the current project the given CAD model of an electronic enclosure assembly is imported in SpaceClaim where the following steps are carried out: i.…

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                  11 Sep 2020 10:53 AM IST

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                    Emission characterization of a CAT3410 engine

                    Objective:

                    I. Aim i. To perform engine sector simulations with both the given pistons: Omega piston and Open-W piston. ii. To compare the Indicated Mean Effective Pressure (IMEP) and Engine Power for the two pistons. iii. To compare the emission characteristics (including Soot, `NO_x` and UHC) of the two pistons. II. Theory…

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                    11 Sep 2020 10:12 AM IST

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                      Full Hydrodynamic Simulation of a Port Fuel Injection Engine using CONVERGE CFD

                      Objective:

                      I. Aim  To perform full hydrodynamic simulation of a port fuel injected engine and calculate the following parameters: i. Compression ratio ii. Combustion efficiency iii. Engine power iv. Engine torque II. Given i. PFI geometry ii. Design inputs III. Theory Spray modeling: Modeling the fuel spray in the intake port…

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                      11 Sep 2020 09:49 AM IST

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                      Modeling and Analysis of a heat sink

                      Objective:

                      I. Aim: To perform thermal analysis of a cabinet containing the following: (a) An array of five high-power devices (each source dissipates power at the rate of 33W) (b) A backing plate (c) Ten fins (d) Three fans (each fan has a total volumetric flow rate of 18cfm) (e) An opening The figure attached below shows the schematic…

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                      14 Aug 2020 01:30 PM IST

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                        Week 8: Literature review - RANS derivation and analysis

                        Objective:

                        Derivation and analysis of Reynolds-averaged Navier-Stokes equations I. Aim The aim of the current project is to: i. Apply Reynolds decompostion and Reynolds-averaging to the Navier-Stokes equations and derive the expression for Reynolds stress. ii. Explain Reynolds stress. iii. Explain turbulent viscosity. II. Theoretical…

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                        23 May 2020 12:36 PM IST

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                          Week 7: Shock tube simulation project

                          Objective:

                          Shock tube simulation project I. Aim: The aim of the current project is: 1. To setup a transient shock tube simulation. 2. Observe the pressure and temperature throughout the domain as a function of time. 3. Estimate the cell count as a function of time II. Theoretical background: Shock tube is a device used…

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                          18 May 2020 12:59 PM IST

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                            Conjugate Heat Transfer Simulation of Pipe Flow

                            Objective:

                            Conjugate Heat Transfer Simulation of Pipe Flow I. Overview In the current project conjugate heat transfer analysis of flow through a circular pipe is performed using CONVERGE CFD, with the following objectives: i. To study the effect of grid size on the simulation results: The following three grid sizes are used: (a)…

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                            10 May 2020 09:05 AM IST

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                            Prandtl Meyer Shock problem

                            Objective:

                            Prandtl-Meyer Shock Problem Overview The current report is divided into three sections. In the section I, a brief theoretical background of shocks and Prandtl-Meyer expansion fan is provided. Section II begins with an introduction to boundary conditions which are used in Mathematics to solve differential equations. Additionally…

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                            04 May 2020 11:00 AM IST

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                            Transient simulation of flow over a throttle body

                            Objective:

                            Transient simulation of flow over a throttle body I. Overview In the current project, a transient simulation of flow over a throttle valve, placed in a pipe-elbow, is performed using CONVERGE CFD. II. Geometry The geometry used for performing simulation is attached below. III. Material Air (Predefined mixture) is used…

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                            23 Apr 2020 07:07 AM IST

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                            Steady state simulation of flow over a throttle body

                            Objective:

                            Steady state simulation of flow over a throttle body I. Overview In the current project, steady-state simulation of flow over a throttle valve, placed in a pipe-elbow, is performed using CONVERGE CFD. II. Geometry The geometry used for performing simulation is attached below. III. Material Air (Predefined mixture) is used…

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                            23 Apr 2020 07:06 AM IST

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                            Flow over a backward facing step

                            Objective:

                            Flow over a backward facing step I. Overview In the current project flow over a backward facing step is simulated using CONVERGE CFD. Simulation results for the following three meshes are compared: i. Mesh 1: Grid size: dx=dy=dz=2e-3m. ii. Mesh 2: Grid size: dx=dy=dz=1.5e-3m. iii. Mesh 3: Grid size: dx=dy=dz=1e-3m. II.…

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                            19 Apr 2020 08:40 AM IST

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                            Channel flow simulation using CONVERGE CFD

                            Objective:

                            Channel flow simulation using CONVERGE CFD I. Overview In the current project two dimensional channel flow is simulated using CONVERGE CFD. Simulation results for the following three meshes are compared: i. Mesh 1: Grid size: dx=2e-4m, dy=2e-4m and dz=2e-4m. ii. Mesh 2: Grid size: dx=1.5e-4m, dy=1.5e-4m and dz=1.5e-4m.…

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                            16 Apr 2020 02:59 AM IST

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                            Simulation of non-premixed combustion flame using ANSYS Fluent

                            Objective:

                            Simulation of non-premixed combustion flame using ANSYS Fluent I. Overview In the current project non-premixed combustion flame is modeled using ANSYS Fluent. The flame utilizes methane gas with a certain amount of water content as the fuel and air (79% `N_2` and 21% `O_2` by volume) as the oxidizer. The mass fractions…

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                            31 Mar 2020 02:30 PM IST

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                              Parametric study of a gate valve using ANSYS Fluent

                              Objective:

                              Parametric study of a gate valve using ANSYS Fluent I. Overview A gate valve is a mechanical device used to restrict the flow of the fluid through a pipe. It is mostly operated in two modes: fully open and fully closed. Hence it is not used for flow regulation. The image attached below shows a typical gate valve. Flow…

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                              27 Mar 2020 12:57 AM IST

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                                Simulation of cyclone separator using ANSYS Fluent

                                Objective:

                                Simulation of cyclone separator using ANSYS Fluent Overview: Cyclone separator is a device used to remove particulate matter from flue gases. Air/flue gas containing particulate matter enters into the separator tangentially from the top and follows a downward-helical trajectory inside it. This creates a vortex at the center…

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                                21 Mar 2020 04:10 AM IST

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                                  Two dimensional simulation of gearbox sloshing using ANSYS Fluent

                                  Objective:

                                  Two dimensional simulation of gearbox sloshing using ANSYS Fluent I. Overview In the current project, two dimensional simulation of slosh dynamics within a gearbox, consisting of two rotating spur gears, is performed using ANSYS Fluent. Such simulations are often performed in the industry to determine if all the gear teeth…

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                                  12 Mar 2020 07:40 AM IST

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                                    Simulation of Rayleigh Taylor instability using ANSYS Fluent

                                    Objective:

                                    Simulation of Rayleigh Taylor instability using ANSYS Fluent I. Overview The destabilization of interface between two fluids of different densities, which occurs when the heavier fluid is placed on top of the lighter fluid under the effect of gravitational field, is termed as Rayleigh Taylor instability. Some examples…

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                                    03 Mar 2020 07:46 AM IST

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                                    Conjugate heat transfer analysis of a graphics card

                                    Objective:

                                    Conjugate heat transfer analysis of a graphics card I. Overview In the current project, conjugate heat transfer analysis is performed on a given model of graphics card, using ANSYS Fluent. The following two meshes are used for simulation: (a) Baseline mesh (b) Refined mesh The aim of the analysis is to accomplish the following…

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                                    28 Feb 2020 05:28 AM IST

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                                      Conjugate heat transfer analysis of exhaust manifold

                                      Objective:

                                      Conjugate heat transfer analysis of exhaust manifold The term \"conjugate heat transfer\" refers to scenarios wherein there is a combination of and coupling between heat transfer in solids and fluids. In solids heat transfer occurs mainly by conduction whereas in fluids convection is the dominant mode of heat transfer.…

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                                      23 Feb 2020 03:01 AM IST

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                                        Simulation of flow over an Ahmed body

                                        Objective:

                                        Simulation of flow over an Ahmed body Ahmed body is a simplified car-model developed by S.R. Ahmed in 1984. It is quite simple to model and captures the flow features observed around actual complex car geometries well. Additionally experimental data, obtained by conducting wind tunnel experiments over Ahmed body, is also…

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                                        16 Feb 2020 10:47 AM IST

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                                          Two dimensional analysis of flow over a circular cylinder using ANSYS Fluent

                                          Objective:

                                          In the current project, flow over a circular cylinder is analyzed, using both steady state and transient approaches, in ANSYS Fluent. The goal is: (a) To simulate von Karman vortex street, which is an unsteady phenomenon that occurs during the laminar flow regime (at certain Reynolds numbers) causing repeated patterns…

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                                          06 Feb 2020 08:21 AM IST

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                                            Two dimensional numerical analysis of conduction equation in cartesian coordinates

                                            Objective:

                                            I. Steady state analysis: Steady state conduction equation in two dimensional cartesian coordinate system is given below: `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0` Upon discretizing the spatial derivatives using central difference scheme, we get: `(T_(i+1,j)-2T_(i,j)+T_(i-1,j))/(Deltax^2)+(T_(i,j+1)-2T_(i,j)+T_(i,j-1))/(Deltay^2)=0`…

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                                            31 Jan 2020 03:14 AM IST

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                                              Simulation of flow through a mixing tee

                                              Objective:

                                              In the current project, we will simulate flow through a mixing tee using ANSYS for the following three different configurations: (i) Short mixing tee with hot stream entering at `25^oC` and 3m/s and cold stream entering at `10^oC` and 6m/s. (ii) Long mixing tee with hot stream entering at `25^oC` and 3m/s and cold stream…

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                                              31 Jan 2020 02:46 AM IST

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                                                Simulation of flow through a pipe using OpenFoam - Part II

                                                Objective:

                                                Simulation of flow through a pipe using OpenFoam part - II Given: The following information is available before starting the current project: 1. Physical description of the problem: (i) Diameter of the pipe, `D=0.01m`. (ii) Reynolds number of the flow based on the pipe diameter and the uniform inlet velocity, `Re_D=2100`.…

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                                                22 Jan 2020 12:58 AM IST

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                                                Simulation of flow through a pipe using OpenFoam

                                                Objective:

                                                Simulation of flow through a pipe using OpenFoam In the current project, we are going to analyze the steady laminar flow of an incompressible fluid with constant properties in the fully developed region of a straight circular pipe. This flow is termed as Hagen-Poiseuille flow. 1. Physical description As soon as the fluid…

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                                                17 Jan 2020 01:38 AM IST

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                                                FVM Interpolation schemes and flux limiters

                                                Objective:

                                                Interpolation Schemes In the finite volume formulation, evaluation of surface and volume integrals sometimes requires the values of unknown variables at locations other than the computational nodes of the control volume. These values are obtained by employing certain interpolation schemes. As an example let us consider…

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                                                09 Jan 2020 10:35 AM IST

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                                                Two dimensional analysis of flow over a backward facing step using openFoam

                                                Objective:

                                                Analysis of flow over a backward facing step (I) Geometry and Mesh For the current project, the computational domain is divided into five blocks. This is done to implement mesh grading near the walls in a convenient manner. In order to perform 2D analysis of the problem using openFoam, a dimension of 1 mm is considered…

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                                                07 Jan 2020 05:37 AM IST

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                                                Quasi one-dimensional analysis of subsonic-supersonic isentropic nozzle flow using MacCormack s method

                                                Objective:

                                                Numerical solution of quasi one-dimensional subsonic-supersonic isentropic nozzle flow (I) Non-conservative form of governing equations 1. Grid independence study: It is necessary that the numerical solution of a physical problem remains unaffected by the number of grid points adopted for the purpose of numerical discretization.…

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                                                19 Dec 2019 05:12 PM IST

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                                                Taylor table

                                                Objective:

                                                We need to derive a fourth order approximation for the second order derivative `f_i\'\'` 1. Central difference: Let us consider a five-point stencil consisting of the points `f_(i-2), f_(i-1), f_i, f_(i+1) and f_(i+2)`. Let us assume `f_i\'\'approx(af_(i-2)+bf_(i-1)+cf_i+df_(i+1)+ef_(i+2))/h^2`. Taylor table…

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                                                02 Nov 2019 03:31 PM IST

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