(20pts) The 2-D velocity profile of flow in a heater is given below. Due to heat...

Transcribed Image Text:

(20pts) The 2-D velocity profile of flow in a heater is given below. Due to heat input the temperature profile is variable and given below. Determine (a) the acceleration field, (b) the time rate of change of temperature for a fixed location x=1, y=1, (c) the time rate of change of temperature for a fluid particle flowing past x=1, y=1, and (d) the equation for streamlines. Hint: dx = In (x) V [] x =(2x) + (0.5y); T=(2)x+ (0.5) t t (20pts) The 2-D velocity profile of flow in a heater is given below. Due to heat input the temperature profile is variable and given below. Determine (a) the acceleration field, (b) the time rate of change of temperature for a fixed location x=1, y=1, (c) the time rate of change of temperature for a fluid particle flowing past x=1, y=1, and (d) the equation for streamlines. Hint: dx = In (x) V [] x =(2x) + (0.5y); T=(2)x+ (0.5) t t