Question

What is the relation between recovery factor and temperature?

(a) Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2]

(b) Ti=T[1+r\(\frac{\gamma+1}{2}\)M^2]

(c) Ti=T[1-r\(\frac{\gamma-1}{2}\)M^2]

(d) Ti=T[1-r\(\frac{\gamma+1}{2}\)M^2]

I had been asked this question by my college professor while I was bunking the class.

My query is from Measurement of Air Temperature topic in chapter Atmosphere and Air Data Measurement of Aircraft Performance

Answer 1

Correct choice is (a) Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2]

Explanation: The relation between recovery factor and temperature is Ti=T[1+r\(\frac{\gamma-1}{2}\)M^2] where T is the temperature at that altitude, Ti is indicated total temperature, r is recovery factor, M is Mach number and γ is the ratio of specific heat at constant pressure to that of specific heat at constant volume.