Reviewer Score 3. A plane wall of thickness 0.12m and thermal conductivity 40W/m K having uniform volumetric ene...
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 3. A plane wall of thickness 2L = 40 mm and thermal conductivity k = 5 W/m.K experiences uniform volumetric heat generation at a rate ġ, while convection heat transfer occurs at both of its surfaces (x = -1, + L), each of which is exposed to a fluid of temperature Too = 20 °C. Under steady-state conditions, the temperature distribution in the wall is of the form T(x) = a + bx + cx? where a = 82.0°C,...
A plane wall with thermal conductivity of k, is insulated on one side and is exposed to ambient air at To and convection coefficient of h, on the other side. A heat source in the 3) wall is generating a uniform heat rate per unit volume of For one-dimensional steady-state conduction in the wall, derive a proper differential equation for the temperature by either using the heat equations or doing the energy balance. Identify proper boundary conditions and find the...
A plane wall of thickness L has constant thermal conductivity, k, uniform generation throughout, q, and is insulated on one side, at x-0. Only the outer surface temperature (Ts) is known. (a) Derive an equation describing the steady-state wall temperature at any point (x), when given the outer wall surface temperature, Tsi. (b) If L-15 cm, k: 3.4 W/m"K, q-10 kW/m3, and Ts1-300 K, what is the steady-state temperature at x - 6 cm (in K)? S1
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 large plane wall with a thickness of L and a constant thermal conductivity k. The left surface of the plane is exposed to a uniform heat flux, ?̇?. The right face is exposed air at uniform ?∞ with h. The emissivity on the right surface is ε. a. Write an appropriate form of heat conduction equation for the plane. b. Express the boundary conditions.
A long cylindrical rod of diameter 220 mm with thermal conductivity 0.5 W/m-K expe riences uniform volumetric heat generation of 25,000 W/m3. The rod is encapsulated by a circular sleeve having 7 W/m K. The outer surface of the sleeve is exposed to cross flow of air at 25°C with a convection coefficient of 25 W/m2-K. Find the temperature at the interface between the rod and sleeve, and on the outer surface. an outer diameter of 410 mm and thermal...
A wall (assumed to be 1-dimensional) has a thickness of 2L-8em and experiences uniform thermal energy generation of 9 1000 ms. The wall is cooled convectively at x = ±4 cm by a fluid at temperature T,-30°C. The steady-state temperature distribution through the wall is T(x) = a(L2-x*) + b, where a = 15°C/mz and b = 40°C. Determine 4. a. b, The thermal conductivity of the wall, k The convection coefficient, h
2.) A plane wall is made of brick with a thermal conductivity of 1.5 W/(m-K). The wall is 20 cm thick and has a surface area of 10 m2. One side of the wall is exposed to outside air blowing against the wall resulting in a heat transfer coefficient of 20 W/(m2-K). The other side is exposed to an air-conditioned room with a convective heat transfer coefficient of 5 W/(m2-K). a. What are the thermal resistances corresponding to conduction through...
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...