Water at 312 K temperature flows parallel to a flat surface at a velocity of 17 m/s. At a distance of 4 cm from the leading edge of the plate, the surface temperature is measured to be 300 K. (a)...

Water at 312 K temperature flows parallel to a flat surface at a velocity of 17 m/s. At a distance of 4 cm from the leading edge of the plate, the surface temperature is measured to be 300 K.

(a) Calculate the direction and magnitude of heat flux at the surface.

(b) Calculate the total viscous dissipation rate, per unit mass of the fluid, at the surface.

(c) Repeat parts (a) and (b), this time assuming that the surface temperature is 290 K.

(d) Repeat parts (a) and (b), this time assuming that the surface temperature is 300 K, but the fluid has a viscosity 100 times the viscosity of water and its other properties are similar to water.