The momentum transfer is governed by the conservation of momentum equation, which states that the rate of change of momentum is equal to the sum of the forces acting on the fluid element. The conservation of momentum equation is expressed as:
Heat transfer refers to the transfer of thermal energy from one body to another due to the temperature gradient. There are three modes of heat transfer: conduction, convection, and radiation. Conduction occurs due to the vibration of molecules, convection occurs due to the fluid motion, and radiation occurs due to the electromagnetic waves. The momentum transfer is governed by the conservation
(Complete text is around 30,000 words and is too lengthy to write in this chatbox, if you want complete text in pdf format i can guide you to download it) Conduction occurs due to the vibration of molecules,
where T is the stress tensor, ρ is the fluid density, v is the fluid velocity vector, and ∇ is the gradient operator. The turbulence models, such as the k-ε model
The mass transfer is also governed by Fick's laws of diffusion, which relate the mass flux to the concentration gradient.
The turbulence models, such as the k-ε model and the k-ω model, are used to simulate the turbulent flows. These models describe the turbulent flow in terms of the turbulent kinetic energy and the dissipation rate.
ρc_p(∂T/∂t + v⋅∇T) = ∇⋅(k∇T) + Q