What is the “No-slip” condition responsible for?
The no-slip condition is responsible for the development of the velocity profile
Why is a velocity profile created?
Because of friction between the fluid players, the layer that stick to the wall slows the adjacent fluid layer, which slows the next layer and so on.
What is the Equation for shear stress acting on a fluid layer?
𝑇_𝑥𝑦=𝐹/𝐴
What is the rate of deformation of a fluid element equivalent to?
The rate of deformation of a fluid is equivalent to the velocity gradient 𝑑𝑢/𝑑𝑦
What is the equation for 𝑑𝑢/𝑑𝑦?
𝑑𝛽/𝑑𝑡=𝑑𝑢/𝑑𝑦
What are Newtonian Fluids?
Newtonian Fluids, are fluids for which the rate of deformation is linearly proportional to the shear stress
What are Non-Newtonian Fluids?
Non-Newtonian Fluids, are fluids for which the rate od deformation is not linear to the shear stress
What is the Equation for mass flow rate?
𝑑𝑚̇=𝜌𝑣_𝑛 𝑑𝐴
𝑚̇=∫16𝐴▒〖𝜌𝑣(𝑛 ) 𝑑𝐴〗
What is the Equation for Volume Flow rate?
𝑄̇= ∫16_𝐴▒〖𝑢_𝑛 𝑑𝐴= 𝑢_𝑚 𝐴〗
What is the Principle of Mass conservation Equation?
𝜌_1 𝐴_1 𝑢_𝑚1= 𝜌_1 𝐴_1 𝑢_𝑚2= 𝑚̇
