Consider a rectangular fin that is used to cool a motorcycle engine. the fin is 0.2 m wide (in the flow direction) and at a temperature of 225°c, while the motorcycle is moving at 80 km/hr in air at 27°c. the air is in parallel flow over both surfaces of the fin, and you can assume fully turbulent flow (a) what is the rate of heat removal per unit length of the fin? (b) plot the heat removal rate per unit length as a function of the motorcycle speed from 10 to 100 km/hr.

this is poiselle's equation from fluid mechanic in physics. mech eng

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .