insulated. Determine the heat fluxes and in both the x and y directions.
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- 2.50 Compare the rate of heat flow from the bottom to the top of the aluminum structure shown in the sketch below with the rate of heat flow through a solid slab. The top is at v, the bottom at . The holes are filled with insulation that does not conduct heat appreciably.Derive the expression of q on a flat furnace wall in the x-directionThe compartment below is used as a freezer of refrigerator compartment. Inner wall is at -15 C and outer wall is at 25 C. Insulator with a thermal conductivity of 0.035 W/(mK) is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.2 m and unit width into the page. Determine the thickness of the insulator if the compartment heat load is 700 W? * inner wall outer wall insulating material
- The compartment below is used as a freezer of refrigerator compartment. Inner wall is at -15 C and outer wall is at 25 C. Insulator with a thermal conductivity of 0.035 W/(mK) is used to prevent the heat losses from the compartment. The shape is in square form with a side of 1.2 m and unit width into the page. Determine the thickness of the insulator if the compartment heat load is 700 W? * inner wall outer wall insulating material 5 cm O 9.6 mm 4.2 cm noneProblem 3: Refer to the rectangular region in the figure below, the inner boundary surfaces are insulated and heat genrated within the cast iron solid ġ" (kw/m'). Determine the temperature distribution within the salid where the boundary surfaces are kept at 20 C. where is the location of the maximum temperature? how much it will be if a =2b = 20 cm and c = 2d = 10 cm and heat gencration is 1 kW/m?? 2b 2d ZInsulation 20 ġ" (kW/m) 2a) A plane wall is having width ‘b’ mm and height 4 times of its width. The wall thickness is 120 mm. the thermal conductivity is 18 W/mK. The surface temperatures are at 700oC and 200o C The heat flow across the plane wall is 746 W Calculate the width, height and area of the wall?
- The figure shows the cross section of a wall made of three layers. The thicknesses of the layers are L₁, L2=0.750 L₁, and L3 = 0.350 L₁. The thermal conductivities are k₁, k₂ = 0.840 k₁, and k3 = 0.780 k₁. The temperatures at the left and right sides of the wall are TH = 23 °C and Tc = -10 °C, respectively. Thermal conduction is steady. (a) What is the temperature difference AT2 across layer 2 (between the left and right sides of the layer)? If k2 were, instead, equal to 1.160 k₁, (b) would the rate at which energy is conducted through the wall be greater than, less than, or the same as previously, and (c) what would be the value of AT2? TH k₁ L₁ kg|kz kq L₂ L3 TcA wall is constructed using bricks made of 3 different materials (A, B, C) as shown in the figure (all dimensions are in cm). The depth of the wall is ( w = 20 ), The pattern repeats itself every 20 cm distance in the vertical direction. Thermal conductivities of the materials are given as kA=0.5W/mK, kB=1 and kC=0.35. Inside and outside temperatures are 20 oC and 45 oC, respectively. Considering only convection inside (h=10 W/m2K) and both convection (h=25 W/m2K) and radiation (h=20 W/m2K) outside: w (m) = ? (a) Draw the thermal resistance network (b) Total thermal resistance (c) Total heat transfer rate from the repeated section (d) Temperature TxThere is a long cylinder inside an oven and we are using lumped capacitance method to find the temperature at its extremes. The temperature at the centre of the cylinder is 1000 C, what will be the temperature at its one end where it is away from heat source according to our calculations? not sufficient information more than 1000 C equal to 1000 C less than 1000 C
- The diagram (below) illustrate an object of a thermal conductivity 236 W/m-K. The circular cross section is having a radius r = ax, where a = 0.4. The small end is located at x1= 24 mm and the large end at x2 = 124 mm. End temperatures are Ti= 600 K and T2 = 400 K (as shown by figure), while lateral surface is well insulated. (1) Please find the temperature distribution equation (in terms of temperature (T) and distance (x)). (2) Calculate conduction heat rate (q.) in kW.The figure shows the cross section of a wall made of three layers. The thicknesses of the layers are L1. L2 =0.500 L1. and L3 = 0.350 L1. The thermal conductivities are k1, k2 = 0.800 k1, and k3 = 0.680 k1. The temperatures at the left and right sides of the wall are TH = 20 °C and Tc = -10 °C, respectively. Thermal conduction is steady. (a) What is the temperature difference AT2 across layer 2 (between the left and right sides of the layer)? If k2 were, instead, equal to 1.100 k1, (b) would the rate at which energy is conducted through the wall be greater than, less than, or the same as previously, and (c) what would be the value of AT2? k1 ko k3 TH Tc L1 L9 L3 (a) AT2 = i (b) (c) AT2= iA wall of a house is made from two layers of bricks enclosing a layer of insulation. A radiator is positioned to cover the whole internal surface, and used intermittently when the internal temperature is low. The external surface is exposed to the outside air. Which of the following assumptions could be used to identify the relevant reduced form of the conduction equation to find the temperature in the wall. a. Conduction is mainly in two directions. b. Conduction is mainly in one direction. c. The wall properties are homogeneous. d. Steady conditions exist. e. Unsteady conditions exist. f. There is an internal volumetric heat generation in the wall.