CFD analysis plays crucial role in designing products for Oil and gas, Medical, Turbo machinery and Power generation industry. It involves analysis of various types of Fluid flows inside turbine, valve design or even in pipe. The common process for carrying out a CFD analysis is suggested below so as to give a reference for analyzing different aspects of a CFD simulation.

Prepare the Flow Problem
Conceptualize and Model the Geometry
Define Input and Boundary Conditions
Define Strategy for Simulation
Simulate the model with SolidWorks or ANSYS
Observe the Simulation results
Compare the Results
Provide Documentation

Prepare the Flow Problem: First thing first! You need to formulate the flow problem by finding answers to the below given questionnaire:

What is the goal of CFD analysis?
What is the easiest way to achieve this goal?
What geometry should be considered?
What is the type of the viscous flow?
What should be measured of fluid analysis?

Conceptualize and Model the Geometry: Modeling of geometry is carried out using CAD software such as SolidWorks, Nastran, Ansys or other tools. To provide comprehensive analysis considerable efforts are made to ensure finite flow domain. The geometry and fluid flow are modeled such that the structure virtually performs in real-life conditions.

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Define Input and Boundary Conditions: CFD analysis requires physical conditions for the boundaries of the fluid flow. CAD simulation can only begin with initial condition and uses repetitive method to reach a final flow field solution.

Define Strategy for Simulation: It depends on complexity of problem and desired results.

Simulate the model with SolidWorks or ANSYS: This will involve constant monitoring along with parameter check.

Observe the Simulation Results and Compare the Results: The computational fluid dynamics analysis results are compared to results from analytic or experimental studies to ascertain the validity of the final results.

Provide Documentation: Documenting the results of CFD analysis involves jotting down each of the steps discussed above for the whole process.

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Question by prerna: i want a relation between complex analysis and analytic geometry by any example?
i hav given a term paper topic of mathematics on how i can relate complex analysis and analytic geometry togther?

Best answer:

Answer by bpiguy
Here’s one idea … Take a parabola with no real roots. It will have the form y = ax^2 + bx + c, complete with focus, directrix, and latus rectum, but the discriminant b^2 – 4ac will be negative, so the roots of this polynomial are complex, of the form a +/- bi. That can be rendered in the complex plane.

See if you can tie these two concepts together.

Another possibility is to do something with sinusoidal effects of wave propagation. Imagine a particle traveling in a circle at constant speed, and project the vertical displacement onto a time line. That gives you a sine curve. Now for every position (r, θ) the particle assumes, you have real and imaginary components: if the radius of the circle (amplitude) is r, then x = r cos θ is real, and y = r sin θ is imaginary. Here, you’re using the vector concept that R = R, where R is the position vector in the complex plane.

Know better? Leave your own answer in the comments!
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