Electrical Energy: Center Temperature and Maximum Temperature of a Wall

Please see the attached file for the fully formatted problem(s). Find center temperature and maximum temperature in the wall. Given that in problem Radius of wire r = 0.001268m Length of wire L= 0.9m Average conductivity k = 22.5 W/m.K Resistance R = 0.126 ohms Current = 200A Wall temperature Twall = 422.1K

Center Temperature -- Electric Current Passed Through a Wire

Please see the attached file for the fully formatted problem(s). An electric current of 200 A is passed through a stainless steel wire having a radius of 0.001268 m. The length of the wire L is 0.91m and has a resistance of 0.126 ohms. The outer surface temperature Ts is held at 422.1 K. The average conductivity is k=22.5 W/m*K. What is the center temperature?

Showing Equivalence of Two Flow Equations

Please see the attached file for the fully formatted problem. I am trying to show that the following two equations are equivalent: Re[(1/St)*(∂ω/∂t) – del x (u x ω)] + del x (del x ω) = 0 Re[(1/St)*(∂ω/∂t) + u • del ω] = Re ω • del u + del2 ω Where u is the velocity vector, ω is the vorticity vector, Re is the Reynolds number and St is the Strouhal number. del is the del operator and x indicates a cross product. What do these terms mean?

A fluid is flowing one moving plate

A fluid is flowing between two flat plates where one of the plates is moving at a constant velocity of Vw in the same direction. Derive the velocity profile for fluid flow in the x-direction. Show that it is linear. Determine the momentum flux at the moving wall. Assumptions -lamina flow -incompressible -isothermal -steady state

What is the constant?

See attached file for full problem description.