Consider a heating process (shown below) where liquid with specific gravity 1 is pumped from a feed tank to a final tank. The flow rate at design condition is 100 gpm, the pressure 0 in the tank is atmospheric , the pressure drop over the heat exchanger at the design flow rate is 40 psi, and the pressure in the final tank 2 is 150 psig. The control valve is half open ( () =.) at the design flow. -The process engineer wants to design a system that has a low pressure drop across the control valve. However, the control engineer wants to take a large pressure drop over the valve since the large pressure drop will allow a large range of flow rate through the valve.

The control valve is originally designed to take a 20 psig pressure drop at the design flow rate of 100gpm when the valve is half open. -The pressure drop over the heat exchanger at a given flow rate F is given: =40( /)^2

Important Assumption: The total pressure drop across the heat exchanger and the valve needs to remain constant.

We want to stay at the design condition, but we also want the valve experience a range of pressure drops (various pressure drops across the valve). Calculate the valve coefficient and turndown ratios for the control valve at a range of pressure drop from 10 to 100 psi.

please use Matlab to solve

Thank you

A smmpie neanng and punpur operation