In a heat exchanger where two fluids are separated by a wall, the rate of heat exchange is expressed as: Q=Ah(TH-TC), where A is the area of the wall, h is the heat transfer coefficient and TH and TC are the variable temperatures of the hot and cold fluids respectively. a) Linearise Q if the operating point is defined as TH = {B1} and TC = {B2}. b) Determine the linearisation error for the case where TH is increased by {B3} degrees from its operating value while TC remains the same as at the operating point. c) Determine the linearisation error for the case where TH is obtained by multiplying its operating value by {B4} while the value of TC is obtained by multiplying its operating value by {B5}. d) If the flow of the cold fluid is much higher than the flow of the hot one, temperature TC can be assumed to be constant at {B6}degrees. Determine transfer function TH(s)/Q(s).

In a heat exchanger where two fluids are separated by a wall, the rate of heat exchange is expressed as: Q=Ah(TH-TC), where A is the area of the wall, h is the heat transfer coefficient and Ty and Tc are the variable temperatures of the hot and cold fluids respectively. a) Linearise Q if the operating point is defined as Th= {Bb} and Tc= {B2). b) Determine the linearisation error for the case where This increased by {B3} degrees from its operating value while Te remains the same as at the operating point. c) Determine the linearisation error for the case where Th is obtained by multiplying its operating value by {B4} while the value of Te is obtained by multiplying its operating value by {B5). d) If the flow of the cold fluid is much higher than the flow of the hot one, temperature Tc can be assumed to be constant at {B6}degrees. Determine transfer function TH(s)/Q(s). In a heat exchanger where two fluids are separated by a wall, the rate of heat exchange is expressed as: Q=Ah(TH-TC), where A is the area of the wall, h is the heat transfer coefficient and Ty and Tc are the variable temperatures of the hot and cold fluids respectively. a) Linearise Q if the operating point is defined as Th= {Bb} and Tc= {B2). b) Determine the linearisation error for the case where This increased by {B3} degrees from its operating value while Te remains the same as at the operating point. c) Determine the linearisation error for the case where Th is obtained by multiplying its operating value by {B4} while the value of Te is obtained by multiplying its operating value by {B5). d) If the flow of the cold fluid is much higher than the flow of the hot one, temperature Tc can be assumed to be constant at {B6}degrees. Determine transfer function TH(s)/Q(s)