Heat Transfer in Electroosmotic Flow of Power-Law Fluids in Micro-Channel

The application of CFD in bio-medical is increasing day by day. There is a lot of research going on around the world in this field. Applying CFD in this field helps to predict diseases, designing instruments for medical use etc. In this project, you will be working on finding a solution to an electroosmotic flow of power-law fluids by solving governing equations of fluid flow.

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To implement this project, you should have a good understanding of CFD and mathematical modeling. At first, you have to model the physical problem, which is a flow of Power-law fluids through a rectangular microchannel. Then with the help of the governing equation of fluid flow, do mathematical modeling of the physical problem. The solution to this problem needs to be determined by using both the Analytical method and Numerical method. Determine the flow characteristics as temperature distribution, velocity distribution, the concentration distribution of non-Newtonian Power-law fluids in the rectangular microchannel. After producing the results in both methods, you have to compare the result to validate your numerical solution.

Project Description:

1. Navier-Stokes Equation: This is the governing equation of fluid flow which best describes the conservation of mass, moment and energy of a fluid flow. You will use this equation to model your physical problem.
2. Power Law Fluid: Power Law Fluid is nothing but a generalized model of Non-Newtonian fluid.
3. Finite Volume Method (FVM): The finite volume method is a method for representing and evaluating the partial differential equation in the form of algebraic equations. Here finite volume (cell) refers to the small volume surrounding each node point on a mesh. In the finite volume method, volume integrals in a partial differential equation that contains divergence terms are converted to surface integrals using Gauss divergence theorem. These terms are the evaluated as fluxes at the surfaces of each finite volume. These are conservative in nature since the amount of flux leaving a surface is equal to the amount of flux entering into the finite volume.
4. Lax Friedrich’s scheme: Several schemes are implemented on the basis of the finite volume method, one of which is Lax Friedrich’s scheme. To avoid the dependency of the solution on the direction of information flow, a central solver can be preferred. Lax-Friedrich’s scheme is one of the central solvers which can be used to solve a flow problem. Use Local Lax-Fridrich scheme for a better result.

Project Implementation:

1. At first do some research on types of fluid, how they are different from each other, how to model fluid flow problems etc.
2. Your, first step in this project is to model the governing differential equations and boundary condition for the physical problem from Navier-Stokes equations and other equations.
3. Then solve that equation analytically. During this step use hand calculation where ever possible and for difficult problems use Wolfram Mathematica software. Keep the result data with you for future use.
4. Find the numerical solution to the governing differential equation by using MATLAB software by Mathworks.
5. Then compare both the solution by plotting result data to validate your numerical solution.

Project Brief: After this project, we would have a better understanding of the flow characteristics of the biofluids which are non-Newtonian in nature. This could be of a great help to people involved in designing bio-medical components involving fluid flows.

Software requirements:

1. MATLAB: You will be needing this software to write logic and interact the solution for a number of times and plot the result data.

2. Wolfram Mathematica: In this project, during analytical solution you will come across complex equations and calculation. There you will be needing this software to perform those complex arithmetic operation easily.

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Programming language: MATLAB programming language

• MATLAB
• Wolfram Mathematica

• Electroosmotic flow
• Power law fluid
• MATLAB

Heat Transfer in Electroosmotic Flow of Power-Law Fluids in Micro-Channel