The temperature distribution and boundary condition in part of a solid is shown below; Determine the temperature at nodes marked 1, 2,3 and 4, using the matrix notation. Also determine the heat flows at the boundaries. T-500°C 2 T-100°C 3 T-100°C T-100°C
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- The temperature distribution for the plane wall is given in Fig. and here T1 and T2 are the temperatures on both sides of the 2 walls. The thermal conductivity of the wall is constant and its thickness is L. T=T1 Subtract the expression for heat generation per unit volume based on x, which represents the distance from the wall for which the equation is satisfied. At x=0, take the heat generation rate as q0. T -T, - = C, +C,x² +C¸x' T, -T, | %3D |A 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.36 -S 42 2. Metal castings can sometimes develop a gap between the casting and mold as the molten metal hardens. The result can be a substantially altered cooling process. Set up a simple heat-transfer model that would let you look at the effect of the gap on the cooling process. Assume the casting and mold are square in shape, with an air gap of thickness das shown in the figure. The mold sits in some ambient room temperature. State clearly all assumptions and develop a corresponding model of the heat transfer problem. Assuming that the casting is aluminum, the mold is diatomaceous earth and the gap is filled with air, see if you can arrive at and summarize some insight into the effect of the gap and its size on the heat transfer process.
- In the design of a certain computer application, a heat flow simulation is required. In the simulation, the heat conductor, which is of length 10m, has a perfectly insulated surface. The temperature at both ends of the conductor is kept consistently at zero. The initial temperature at any point of the conductor is uniform at 25°C. The 1-dimensional heat equation is given as follows: for all 0A 1-D conduction heat transfer problem with internal energy generation is governed by the following equation: +-= dx2 =0 W where è = 5E5 and k = 32 If you are given the following node diagram with a spacing of Ax = .02m and know that m-K T = 611K and T, = 600K, write the general equation for these internal nodes in finite difference form and determine the temperature at nodes 3 and 4. Insulated Ar , T For the answer window, enter the temperature at node 4 in Kelvin (K). Your Answer: EN SORN Answer units Pri qu) 232 PM 4/27/2022 99+ 66°F Sunny a . 20 ENLARGED oW TEXTURE PRT SCR IOS DEL F8 F10 F12 BACKSPACE num - %3D LOCK HOME PGUP 170Pls answer 4-10show complete step by step solutionUsing Gauss-Seidel iteration method, determine the temperatures at nodes 1, 2, 3 and 4.Estimate the midpoint temperature.In a grid of wires, the temperature at exterior mesh points is maintained at constant values as shown in the figure. When the grid is in thermal equilibrium, the temperature at each interior mesh point is the average of the temperatures at the four adjacent points. For instance, T2+ T3+0-80 4 T₁ = Find the temperatures T₁, T2, T3, T4, when the grid is in thermal equilibrium. T₁-80 T₂ = 80 T3= 80 T₁ = 0 ₂Q4/ A room on the second floor of a house with a balcony has a door. The door made of teak (wood) and it contains a large sheet of glass (outside winter type) in the middle and constitutes 80% of the area of the door. Door thickness is 40 mm and the temperature in the room 25. °C when the temperature is in the balcony 8 °C. Calculate the rate of heat loss from the room to the balcony through the door. The door dimensions 2m x 1m. Assume Inside and outside still air thermal resistance f= 8.29 W/m2 °C and f. 34.1 W/m2 °C respectivelyA solid body is at an initial temperature of 50°C and at time=zero the boundary condition is applied. Obtain the temperature distribution for the given grid for three time steps. (Choose a desirable and proper time step.) m2 x= 10-4 S T2 Δx Δy 10 cm Let: T1=54 T2=42 10°c T1 90°CSubject: ThermodynamicsShow your solution please and givenChoose the false statement? We can express lumped capacitance relation as the combination of Biot and Fourier numbers At very low values of Prandtl number, material has higher thermal conductivity compared to its momentum diffusivity We can calculate convective heat transfer coefficient from Nusselt number If Biot number is less than 0.1, we can neglect thermal resistance in some direction None of the givenSEE MORE QUESTIONS