An immersion heater for water consists of a thin vertical plate shaped as a rectangle of height 8 cm and width 15 cm. The plate is heated electrically and maintained at 62C, while the average temperature of the surrounding water in the tank is 12C. The plate is bathed in water for one side, and the other side is insulated. (a) Sketch the velocity boundary layer on one side of the plate and include a velocity profile. (b) Draw the thermal boundary layer and temperature profile onto the previous schematic. Hint: look up to the Pr of water. (c) Determine if the flow is laminar or turbulent. For water at 37C, the volumetric expansion coefficient is 0.00035, the kinematic viscosity is 8 10-7 m2/s, the thermal conductivity is 0.56 W/mK, and the thermal diffusivity is 1.4510-7 m2/s. (d) Calculate the (average) heat transfer coefficient and heat transfer rate from the plate to the water. Use the following Nu correlation