The one-dimensional plane wall, shown in the figure below, is of thickness L =75 mm and...
3. The wall shown in the figure below has thickness L 0.25 m and uniform thermal conductivity k-1 W/mK. It is exposed to circulating fluid on the surface at x = L, where the temperature ofthe fluid is T-= 30°C and the convection coefficient is h = 4 W/m2.K. The surface at x = 0 is maintained at constant temperature T-20 °C. Assume ID heat flux, and that the system is at steady state a) b) Determine the temperature distribution...
Consider a rectangular fin (k = 180 W/m-K) of length L =10 mm, thickness i =1 mm, and width w» t. The base temperature of the finis Ty = 150°C, and the finis exposed to a fluid of temperature T, =25°C. Assuming a uniform convection coefficient of h = 110 W/m2.K over the entire fin surface, determine the fin heat transfer rate per unit width 4; efficiency ng: effectiveness es, thermal resistance per unit width and the tip temperature T...
The heat generation rate in a plane wall of 0.24 m thickness is 0.4 MW/m3 . The wall is exposed on both sides to convection at 30°C. (a) Determine and compare the maximum temperatures for k = 25, k = 50, k = 200 and k = 410 W/mK assuming h = 250 W/m2K. (b) Determine and compare the maximum temperature for h = 50, 250, 500 and 1000 W/m2K with k = 25 W/mK.
The heat generation rate in a plane wall of 0.24 m thickness is 0.4 MW/m^3. The wall is exposed on both sides to convection at 30°C. a) Determine and compare the maximum temperatures for k=25, k=50, k=200 and k= 410 W/mK assuming h=250W/m^2 K. b) Determine and compare the maximum temperatures for h=50, 250, 500 and 1000 W/m^2K with k =W/mK
Please work on this with process (please complete within one hour.) *I will rate* thank you Heat is uniformly generated at the rate of 4 x 105 W/m3 in a wall of thermal conductivity 25 W/m-K and thickness 60 mm. The wall is exposed to convection on both sides, with different heat transfer coefficients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown (Lf = 16.25 mm) and thermal...
P1 (50 pts.) - A large plane wall has a thickness L-60 cm and thermal conductivity k 25 W/m-K. On the left surface (x-0), it is subjected to a uniform heat flux qo while the surface temperature To is constant. On the right surface, it experiences convection and radiation heat transfer while the surface temperature is TL-225°C and the surrounding temperature is 25°C. The emissivity and the convection heat transfer coefficient on the right surface are 0.7 and 15 W/m2-K,...
A large stainless steel (AISI 316) plate having a thickness of 5 mm is initially at a temperature of 70°C, and both sides of the plate are suddenly exposed to a convection environment at 20°C with the heat transfer coefficient of h= 800 W/m 2 oC. What will be the center and surface temperatures of the plate after 10 s? For stainless steel (AISI 316), α = 348x10-6 m2/s and k = 13.4 W/m K.
A plane wall of thickness 2L= 30 mm and thermal conductivity k= 3 W/m·K experiences uniform volumetric heat generation at a rate q˙, while convection heat transfer occurs at both of its surfaces (x=-L, +L), each of which is exposed to a fluid of temperature ∞T∞= 20°C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x)=a+bx+cx2 where a= 82.0°C, b= -210°C/m, c= -2 × 104°C/m2, and x is in meters. The origin of the x-coordinate...
Problem 2: Consider a large plane slab of semi-thickness L = 0.3 m, thermal conductivity k = 2.5 W/m K and surface area A = 20.0 m². Both sides of the slab is maintained at a constant wall temperature of 358°K while it is subjected to a uniform but constant heat flux of 950.0 W/m2 Evaluate the temperature distribution/profile within the wall. Calculate the heat flux and temperature at location x = 0.1m. Problem 3: Consider a 10.0 m long...
A cross-flow heat exchanger used in a cardiopulmonary bypass procedure cools blood flowing at 4 L/min from a body temperature of 37°C to 25°C in order to induce body hypothermia, which reduces metabolic and oxygen requirements. The coolant is ice water at 0°C, and its flow rate is adjusted to provide an outlet temperature of 13°C. The heat exchanger operates with the blood flow unmixed and the water flow mixed, and the overall heat transfer coefficient is 750 W/m2.K. The...