A metal plate 10 mm thick at 30°C is suddenly expose heat flux of 3000 W/m2 and the other side is exposed to ce at 30°C with a convective heat transfer coefficient of 50

You are asked to design a metal hot dog holder for roasting hot dogs over an opencampfire. The holder is to be designed such that while the end holding the hot dogbecomes cherry red (1400oF), the other end can still be held without using aninsulated handle or glove (~95oF). Design it such that it can be used even on awarm, still day, Tf = 90oF (Assume the convective heat transfer coefficient, h, fora horizontal cylinder is uniform over the whole cylinder and equal to 4.0Btu/hrft2oF)

A flat wall is exposed to an environmental temperature of 38oC. The wall iscovered with a layer of insulation 2.5 cm thick with a thermal conductivity of 1.4W/moC, and a temperature of the inside wall is 315oC. The wall loses heat to theenvironment by convection. Compute the value of the convective heat transfercoefficient that must be maintained on the outer surface of the insulation to ensurethat the outer surface temperature does not exceed 41oC

A spherical tank made up of stainless steel is to be used for storage of oil at 150°Cthat is needed for heating purposes in a plant. It is decided to insulate the tank in order todecrease the heat loss to the surroundings, which is at 20°C having heat transfer coefficient of 25W/m2.K. The heat loss is compensated by the heating resistance inside of the tank. There are twotypes of insulating material present at this plant each is enough for covering the tank with onlyone layer. These are;Type 1: k=0.1 W/m.K thickness=5cmType 2: k=0.25 W/m.K thickness=5cmAn engineer is thinking about the most efficient way of covering the tank in order to minimize theheat loss. Please help him for this purpose. Is it more efficient to cover type 2 over type 1 or type1 over type 2? Explain why?