Are the fields described in Problems 1.11 and 1.12 dimensionally homogeneous? What must the units of p_ˆžbe in order that the pressure be in pounds per square foot when v_ˆžis given in feet per second (Problem 1.11)?

Data From Problem 1.11

Find the pressure gradient at point (a,b) when the pressure field is given by 

where pˆž, vˆž, a, and b are constants.

Data From Problem 1.12

Find the temperature gradient at point (a, b) at time t = (L²/a) ln e when the temperature field is given by

where T₀, a, a, and b are constants.

Transcribed Image Text:

P = P,V (sin - sin + 2 х y ал a. T = Toe-at/4L' sin * cosh: y a