Consider a 1-D wall, as shown below. If the a heat generation happens within the wall by the rate of Q" (Kw/m3), find the temperature variation based on the X variations. T1>T2 L Q1 (KW) K Q"(Kw/m3) X=0 T2 Q2 X=L
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- A plane wall 15 cm thick has a thermal conductivity given by the relation k=2.0+0.0005T[W/mK] where T is in kelvin. If one surface of this wall is maintained at 150C and the other at 50C, determine the rate of heat transfer per square meter. Sketch the temperature distribution through the wall.Conduction Heat Transfer X material (a) material (b) . both (a) and (b) have the same thermal conductivity the temperature distribution is independent of thermal conductivity it's not that simple 9. Fin efficiency is defined as: • tanh (mL) (hP/k Ac)1/2 (heat transfer with fin) / (heat transfer without fin) (actual heat transfer through fin) / (heat transfer assuming all fin is at T = Tb) (Tx=L-Tf)/(Tb-Tf) 10. For an infinite fin, the temperature distribution is given by: (T-Tf)/(Tb-Tf)= e-mx. The heat flow through the fin is therefore given by: k (Tb-Tf)/L ● zero, because the fin is infinite ● infinite because the fin is infinite ● (Tb-Tf) (hP/k Ac)1/2 ● (Tb – Tf) (h P / k Ac)1/2 tanh (mL) 11. The Biot number, Bi, is defined as: • Bi=hk/L • Bi=hL/k • Bi= k/LH • Bi=qL/k • Bi=p UL/k 12. For a plate of length L, thickness, t, and width, W, subjected to convection on the two faces of area L x W. What is the correct length scale for use in the Biot number? . L ● W ● t • t/2 • L/2 13. If Bi…An open system is often referred to as control volume, which is a properly selected region in space in which mass and energy can flow across the boundaries as figure 1.2. The boundary of a open thermodynamic system is called the control surface Across the Boundaries E = Yes F 0 = Yes w =Yes Control surface ass YES W CONTROL VOLUME energy YES Figure 1.2. A cooling/heating radiator is an example of such a system – give two more examples of such a system.
- Qi: (50 marks) Find the total heat flux of the composite wall when: B KA = KC = KF = 15 m. K KB = KD = 10 m. K KE = KG = 20 %3D m. K D. Height of B = C = D 4 cm 3 cm 4 cm 6 cm Height of F = G AT = 30 K92. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume the bottom and sides of the swimming pool are insulated so that the pool exchanges heat with its environment through the top surface only. The density of water is 1000 kg/m³, the specific heat is 4180 J/kg-°C, and the heat transfer coefficient is 10 W/m²-°C. 1.5 m Heat exchange through top surface only 25 m T(t) To 15 m Complete the following. (a) Determine the thermal time constant of the pool and express your answer in days. (b) The swimming pool is being held at T0 = 30 °C when the power fails and external heating stops. The air temperature around the pool (T) drops quickly and can be assumed to be 10 °C at time t = 0. Write a script file in MATLAB® that plots the pool temperature for a duration of four thermal time constants.
- MATCH THE ANSWER WITH THE QUESTION Path Function Choose. Choose. Isobaric Process Pressure is constant Нeat Intensive property No work done Pressure Adiabatic Process Volume No transfer of heatHeat at a rate of 5 kW is being uniformly produced in a solid cylinder. The cylinder has a diameter and a length of 2 cm and 4 m, respectively. Find a) the volumetric and the linear heat generation rates for this cylinder and b) heat flux at r = D/2. [Ans.: ģ = 0.25 kW/m, ġ" = 19.9 kW/m², and ġ" = 3979 kW/m³].show each step and explanation in the process please
- A house, for cooling purposes, consists of two zones: the attic area zone A and the living area zone B (see below figure). The living area is cooled by a 2-ton air conditioning unit that removes 29,000 Btu/hr. The heat 2 hr A 1 capacity of zone B is °F per thousand Btu. The time constant for heat transfer between zone A and the 4 29,000 Btu/hr outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside 4 hr 4 hr temperature stays at 110°F, how warm does it eventually get in the attic zone A? B It eventually gets to be °F in the attic zone A. (Type an integer or decimal rounded to the nearest hundredth as needed.)A house, for cooling purposes, consists of two zones: the attic area zone A and the living area zone B (see below figure). The living area is cooled by a 2-ton air conditioning unit that removes °F per thousand Btu. The time constant for heat 19 4 41,000 Btu/hr. The heat capacity of zone B is transfer between zone A and the outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A? It eventually gets to be F in the attic zone A. (Type an integer or decimal rounded to the nearest hundredth as needed.) 4 hr 쉽 A H 4 hr B 2 hr MIN 41,000 Btu/hrSolve it correctly please. I will rate.