Get Fluid Flow And Heat Transfer In A Mixing Elbow

The governing equations for fluid flow and heat transfer are the Navier-Stokes or momentum equations and the First Law of Thermodynamics or energy equation.

Convection: This refers to the transfer of heat energy by movement of fluids. Convection heat transfer is a function of the fluid physical properties, fluid velocity and system geometry (pipe diameter). Pipe flow is normally subjected to simultaneous heat transfer by convection and conduction.

The governing differential equation for steady state one dimensional conduction heat transfer with internal heat generation is given by ddx[KdTdx]=qfor0≤x≤1 were develop the finite element termulation of linear element.

In convection, heat transfer takes place through both diffusion and advection. As convection requires the actual movement of the heated atoms/ molecules, it requires presence of a fluid for heat transfer. We have seen that a medium is required for the heat transfer in case of conduction and convection.

They are the mathematical statements of three fun- damental physical principles upon which all of fluid dynamics is based: (1) mass is conserved; (2) F = ma (Newton's second law); (3) energy is conserved.

The governing principles in fluid mechanics are the conservation laws for mass, momentum, and energy. These laws are presented in this order in this chapter and can be stated in integral form, applicable to an extended region, or in differential form, applicable at a point or to a fluid particle.