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 62°C, while the average temperature of the surrounding water in the tank is 12°C. 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 37°C, 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 1.45×10-7 m²/s. (d) Calculate the (average) heat transfer coefficient and heat transfer rate from the plate to the water. Use the following Nu correlation.