Consider a laminar steady two-dimensional flow over a flat plate with zero pressure gradient. The surface temperature 0 and free stream temperature . Consider physical properties are varied with the temperature as /0 = (/0)^a

/0 = (/0)^b /0 = (/0)^c where a, b, and c are constant.

The equations governing the fluid motion and the temperature field are: Continuity ()/ + ()/ = 0 Momentum (/) + (/) = / ( /) Energy (/) + (/) = / ( /)

With the boundary conditions: at = 0, = = 0, = 0 as ,

Obtain the equations governing the similarity solution for the stream function and the temperature field. For the temperature of 600 to 2400 , the physical properties can be approximated with = 0.7, = 0.19 = 0.85 0 = 0.7.

Plot / and /0 for 0/ = 1.5,2,3 5.

With C and Nu are the local skin friction coefficient and Nusselt number when the properties are variable and Cf,CP NuCP are the local skin friction coefficient and Nusselt number when properties are constant, plot /f,CP and Nu/NuCP vs 0/.

Approximating /f,CP = (0/)^ Nu/NuCP = ( 0/)^ , find the m and n values for the best fit to these approximations.