Lecture 6 annotated

In the Fig. 2 below, let Ki = K2 = K and ti = t=t. %3D T -T X Fig. 2 (a) Let T= 0 °C and T= 200 °C. Solve for T: and unknown rates of heat flow in term of k and t. MEC_AMO_TEM_035_02 Page 2 of 11 Finite Element Analysis (MECH 0016.1) – Spring - 2021 -Assignment 2-QP (b) Let T- 400 °C and let fs have the prescribed value f. What are the unknowns? Solve for them in term of K, t, and f.

Give True or False for the following: 1.In liquids and gases, heat transmission is caused by conduction and convection 2.The surface geometry is the important factor in convection heat transfer 3. The heat transfer by conduction from heated surface to the adjacent layer of fluid, 4. The heat transfer is increased in the fin when &> 1 5.The unit of the thermal diffusivity is m²/s 6. Temperature change between the materials interfaces is attributed to the thermal contact resistance 7. A material that has a low heat capacity will have a large thermal diffusivity. 8. Heat conduction flowing from one side to other depends directly on thickness 9.Fin efficiency is the ratio of the fin heat dissipation with that of no fin 10.The critical radius is represented the ratio of the convicted heat transfer to the thermal conductivity

HEAT TRANSFER CASE:  I want to know what temperature in (°F) the cylinder will have inside. It's a heat transfer problem. what is T2 ? HEAT TRANSFER They gave me an answer all squashed together that i can't make sense of it. If you could help me makes sense of it thank you!

The amount of heat conducted through a wall of length r is given by Fourier's Law:. CONDUCTION RATE EQUATION T FOURIER'S LAW q, = -k A dT dx T, >T, where q, is the heat flux, k is a proportionality factor, Ais the wall's cross-sectional area, and 4 is the temperature gradient throughout the wall. Our friend Matt Labb wants to find T2 (temperature of the wall's rightmost edge) given q,, k, and A. Is this possible? If so, briefly explain how to find Tp. If not, briefly explain why.

Material properties sheet is attached

Heat is being generated in a fuel element at a volumetric heat generation rate of q′′′ = 1300 kW/m3. The fuel element is a rectangular parallelepiped of thickness 2 cm with a height of 2 m and width of 1 m. The fuel thermal conductivity is k = 3.5 W/m·C. Find the rate of heat transfer from the fuel element at steady state condition. [Ans.: 52 kW].

62. •A 5-kg object is constrained to move along a straight line. Its initial speed is 12 m/s in one direction, and its final speed is 8 m/s in the opposite Complete the graph of force versus time with direction. F (N) (s) appropriate values for both variables (Figure 7-26). Several answers are correct, just be sure that your answer is internally consistent. Figure 7-26 Problem 62

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Suppose a hippopotamus on land receives 73 units of heat per minute due to solar radiation and 52 units of heat per minute due to infrared radiation. It emits 39 units of infrared radiation and it loses 66 units heat per minute through evaporation. The hippopotamus gains 45 units of heat per minute through its metabolism. Overall, its heat energy is increasing by 50 units per minute (i.e. its temperature is increasing). Delta Hanimal = SR + IRin - IRout ± Hconv ± Hcond - Hevap + Hmet Based on this information we can conclude that the combination of conduction and convection is the animal, and that its current temperature is than the ambient temperature. Select one: a. cooling; warmer b. warming; warmer c. cooling; cooler d. warming; cooler

In mechanical resistance

number 1 A food product containing 80% moisture content is being frozen. Estimate the specific heat of the product at -8 ° C when 80% of the water is frozen. The specific heat of the dry product is 2 kJ / (kg ° C). It is assumed that the specific heat of water at -10 ° C is the same as the specific heat of water at 0 ° C, and that the specific heat of ice follows the function Cp es = 0.0062 T Frozen + 2.0649. Cp of frozen product = kJ / kg ° C.

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…

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A house wall is composed of 3 layers in series to each other. There is an Aluminum layer that is 4 cm thick, Copper layer that is 6 cm think and Gold layer that is 3 cm thick.  What is the total conductivity of the wall and its R-value in units of  ft2.F.hr/Btu? [KAl = 2.37 W/cm.C,    KCu = 4.01 W/cm.C,    KAu = 3.17 W/cm.C]

Derive the seven general property equation of the following thermodynamics processes: a. ISOTHERMAL PROCESS - Any Process relation - Work Non-flow - Internal Energy - Heat Transferred - Enthalphy - Entropy - Work Steady flow refer with the picture. Show the detailed explanation please

One End Insulated, One End Fixed Temperature In this model, one end of the wire is maintained at a fixed temperature (say 0°C), while the other end is insulated. du/dt = k d2u/dx2 Where k > 0 is a constant (the thermal conductivity of the material). Boundary Conditions and Initial Condition: At both ends of the wire, the temperature is fixed at zero: u (0,t) = 0 and u(L,t) = 0 The initial temperature distribution along the wire can be some function f(x), where: u(x,0)=f(x), for 0≤x≤L, u(x, 0) = f (x), foro≤x≤L 0 temperature u L x insulation

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A food product containing a water content of 85% is frozen. Estimate the heat type products at -10 °C when 82% of the water is in its frozen state. Hot product type dry is 2.5 kJ/(kg °C) is assumed to heat this type of water at -10 °C is equal to heat water type at 0 °C, and the heat of the types of ice follow function Cp ice = 0 0062 x T frozen + 2 0649. a. Cp frozen products kJ/kg °C.

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Two kinds of bacteria are found in a sample of tainted food. It is found that the population size of type 1, N1 and of type 2, N2 satisfy the equation dN/dt=-0.1/N1 dN/dt30.7/N2 N1 is equal to 1000 at time equal to zero, while N2 is equal to 30 at time equal to zero. Then the population sizes are equal N1 = N2 at what time? (4 decimal places)

QUESTION-) 236 °C steam flows in a pipe which features are given below. Inner and outer diameters of pipe are 300 mm and 320 mm. Coefficient of heat transmission is 40 W/mK. It's external ambient is air and it's temperature is 20 °C. Take the temperature of the pipe's external surface 180 °C.  It is known that the internal temp convection coefficient is 600 W/m^2K and external heat transfer coefficient is 5,9109 W/m^2K The pipe's length is 500 meter. You need to add the radiation in the calculation. The rate of the radiation emissivity is 0.85. You can take the environmental surface temp directly. Please calculate the heat loss of pipe.

QUESTION-) 236 °C steam flows in a pipe which features are given below. Inner and outer diameters of pipe are 300 mm and 320 mm. Coefficient of heat transmission is 40 W/mK. It's external ambient is air and it's temperature is 20 °C. Take the temperature of the pipe's external surface 180 °C.  It is known that the internal temp convection coefficient is 600 W/m^2K and external heat transfer coefficient is 5,9109 W/m^2K The pipe's length is 500 meter. You need to add the radiation in the calculation. The rate of the radiation emissivity is 0.85. You can take the environmental surface temp directly. a-) Please draw this question on the resistance network. b-) Please calculate the heat loss of pipe. c-) By applying insulation to this pipe, it is desired to reduce the heat loss to 20% of the uninsulated loss (option a). Calculate the insulation thickness accordingly. Take glass wool as insulation material.(Conductivity of glass wool = 0.040 W/mK.) Given, The temperature of steam inside the…

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Q (2): A laboratory experiment has been executed to calculate the thermal conductivity of a specimen. The specimen is a bar with (Diameter= 0.04 m) and (length = 0.06 m). At steady state condition, the following data have been recorded: Voltage(V) Current(A) 8 0.8 T₁ (°C) 46.8 T₂ (°C) T3 (°C) 42.2 34.6 T. (°C) 31.4 By taking into consideration that the temperature changes linearly with position, refer to the figure aside, and calculate he thermal conductivity for the specimen (intermediate section). T₂ T₂ The face Told face T₂ T₂ 6 cm 4 cm 6 cm 4 cm 6 cm Hot section Int. section Cold section

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A fire has been happened near a wall in a building, suppose the heat transfer f(x, y) = y²-K(x² + equation in the wall will be according to the equation: 2x - xy) a- Compute the constant (K) if you know that the heat transfer equation satisfy the following differential equation a²fa²f + = 0 дх2 т дуг b- Find the location of extreme heat value in the wall 4 2.