Some time later at kmet, the surface wind (horizontal) pattern is observed to follow this relationship, where a is positive. u= -ax v=-ay a) sketch the horizontal flow at the surface. b) calculate the divergence of the horizontal flow. is this flow convergent, divergent, or neither? c) assuming the surface near kmet is smooth and flat, derive a formula for vertical velocity w as a function of height 2. hint: use the continuity equation for an incompressible fluid of constant density.

Athin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. the rod (a) has a thermal conductivity of ka = 0.15 w/(m*k), while the tube (b) has a thermal conductivity of kb = 0.8 w/(m*k) and its outer surface is subjected to convection with a fluid of temperature t= -15°c and heat transfer coefficient 60 w/(m2 *k). the thermal contact resistance between the cylinder surfaces and the heater is negligible. (a) determine the electrical power per unit length of the cylinders (w/m) that is required to maintain the outer surface of cylinder b at 15°c. (b) what is the temperature at the center of cylinder a?