Navier-Stokes Equations Final Task

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Determine the velocity profile in a solar heater. The solar heater is made up of two concentric tubes, between the tubes the fluid is vacuumed, inside the central tube it moves due to the temperature difference. Consider that the fluid is fully developed in a closed system, consider water as a fluid. Inside the central tube: The cold fluid, being at a lower temperature, its density and viscosity are higher, so it goes down the tube, while the hot fluid has a lower density and lower viscosity. Which causes the fluid to rise into the reservoir. Using the Navier-Stokes equations, solve the following: a) Approach to the solution of the problem, establish the assumptions of the phenomenon. b) Development, obtaining and solution of the mathematical model. c) What is expected if the angle of inclination, its average velocity, and mass flow of hot water and cold water are changed.

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