Heat transfer and fluid flow - Coursework Example

The paper will begin with the exercise with Heat Transfer and Fluid Flow: Subjects for all Seasons. During the hot Summer one year, a loving and indulgent father set up a swimming pool in the garden for his children. The swimming pool is 3 m in diameter and filled with water to a depth of 0.8 m, using a pump that operates at a delivery pressure of 2 bar gauge. The power rating of the pump is 500 W.  Assuming that the pump motor operates with 60% efficiency, estimate how long it will take to fill the pool.

To get the time we employ the following equation, dt = (D2/d2) × (dh/√2gh) Where t=time D=Diameter of the pool d= diameter of the hosepipe h=height g= gravitational acceleration Integrating this equation we get, t= (√h/√0.5g) × (D2/d2) t= (√0.8/√0.5*9.8) × (32/0.32) To warm the water in the pool, the father (who may or may not be a chemical engineer) laid black plastic over the surface of the pool to catch the solar radiation.  The solar flux on a hot sunny day in Northern England is typically 700 W m–2.

  Assuming that the black plastic acts as a black body and absorbs all of the solar radiation that falls on it, delivering this energy to the water, and ignoring radiation back to the sky or heat transfer with the ambient air, estimate the increase in temperature of the water in the pool after 12 hours of unbroken sunshine.