Homework Answers
Option 4 ( k = 16 W/m.K) is not a boudary condition. This is the value of thermal conductivity of a metal through which the heat transfer is taking plance.
Rest other options show the boundary condition in heat transfer process.
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Heat Transfer
Conductivity, in Cartesian coordinates, which of the following is not a Boundary Condition? Oq(x=L)...
The heat that is conducted through a body must frequently be removed by other heat transfer...
The heat that is conducted through a body must frequently be removed by other heat transfer processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature T. The conductivity of the aluminum fin (k) and coefficient of heat convection of...
Heat transfer
Consider a spherical container of inner radius r1, outer radius r2, and thermal conductivity k. Express the boundary condition on the inner surface of thecontainer for steady one-dimensional conduction for the following cases:(i) specified temperature of 50°C,[2 Marks](ii) specified heat flux of 45 W/m2 toward the center,[2 Marks](iii) convection to a medium at T∞ with a heat transfer coefficient of h.[2 Marks]
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity...
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity 25 W/m-K and thickness 60 mm. The wall is exposed to convection on both sides, with different heat transfer coefficients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown (L =20 mm) and thermal conductivity of 250 W/m-K. What is the maximum temperature that will occur in the wall? L tt-2 mm k=25...
Consider the one-dimensional heat equation for nonconstant thermal properties debelo - (Kolon with the initial condition...
Consider the one-dimensional heat equation for nonconstant thermal properties debelo - (Kolon with the initial condition u(x, 0) = f(x). [Hint: Suppose it is known that if u(x, t) = ??(x ) h(t), then 1 dh 1 d do Ko(c) = -1 h dt c(x)p(x)o dx dx You may assume the eigenfuctions are known. Briefly discuss limt- u(x, t). Solve the initial value problem: (a) with boundary conditions u(0, t) = 0 and u(L, t) = 0 au *(b) with...
1 During air cooling of oranges, grapefruit, and tangelos, the heat transfer coefficient for combined convection,...
1 During air cooling of oranges, grapefruit, and tangelos, the heat transfer coefficient for combined convection, radiation, and evaporation for air velocities of 0.11 < V< 0.33 m/s is determined experimentally and is expressed as h=5.05 kairRe131D, where the diameter Dis 0.1 m. Oranges are cooled by refrigerated air at 5°C and 1 atm at a velocity of 0.3 m/s. Given: The thermal conductivity of the orange is given to be k = 0.50 W/m-°C. The thermal conductivity and the...
1) 2) 3) PROJECT #1 (2.5 Marks): The heat that is conducted through a body must...
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2)
3)
PROJECT #1 (2.5 Marks): The heat that is conducted through a body must frequently be removed by other heat transter processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width Z 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature 1. The conductivity of the aluminum...
QUESTION 1 (10 marks) a) Write the Newton's law of heat convection in fluid using convection heat transfer coef...
QUESTION 1 (10 marks) a) Write the Newton's law of heat convection in fluid using convection heat transfer coefficient, h (Wm2.K). Please explain the equation in terms of its driving force and resistancC (2 marks) (POUCOI/C2) b) Define the heat transfer rate, q,by inside and outside convection and wall conduction considering a stainless steel cylindrical pipe (inside radius, ri and outer radius, ) with fiberglass insulator (radius, s) in ą steady state condition as shown in Figure Q11 Steam with...
Question You are studying heat transfer through a spherical shell container with a thermal conductivity k....
Question You are studying heat transfer through a spherical shell container with a thermal conductivity k. The inner and outer radii are identified as a and b, respectively. The inside surface of the shell is exposed to a constant heat flux in the outward direction. The outside surface temperature of the container is measured at Note that only the variables values provided in the problem statement are known. Assume steady one-dimensional radial heat transfer a. Give the mathematical formulation of...
Problem 3. A plane wall of thickness 2L = 40 mm and thermal conductivity k =...
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,...
Please post with matlab code asap! 1- Temperature distribution in a part of a heat exchanger...
Please post with matlab code asap!
1- Temperature distribution in a part of a heat exchanger in the steady state condition should be determined. The part is shown in Figure-l has a thermal conductivity of k-25W/m.K and dimensions and boundary conditions are specified in Figure-1 and Figure-2 respectively Develop a computer code to find the temperature distribution in the part (use Δ-Δ-1 mm). Under operating conditions for which ho-1000 W/m2K, T-o-1 700 K. h= 200 W/m2 K, and T 400...
The heat that is conducted through a body must frequently be removed by other heat transfer processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature T. The conductivity of the aluminum fin (k) and coefficient of heat convection of...
Heat is uniformly generated at the rate of 2x 10W/m* in a wall of thermal conductivity 25 W/m-K and thickness 60 mm. The wall is exposed to convection on both sides, with different heat transfer coefficients and temperatures as shown. There are straight rectangular fins on the right-hand side of the wall, with dimensions as shown (L =20 mm) and thermal conductivity of 250 W/m-K. What is the maximum temperature that will occur in the wall? L tt-2 mm k=25...
Consider the one-dimensional heat equation for nonconstant thermal properties debelo - (Kolon with the initial condition u(x, 0) = f(x). [Hint: Suppose it is known that if u(x, t) = ??(x ) h(t), then 1 dh 1 d do Ko(c) = -1 h dt c(x)p(x)o dx dx You may assume the eigenfuctions are known. Briefly discuss limt- u(x, t). Solve the initial value problem: (a) with boundary conditions u(0, t) = 0 and u(L, t) = 0 au *(b) with...
1 During air cooling of oranges, grapefruit, and tangelos, the heat transfer coefficient for combined convection, radiation, and evaporation for air velocities of 0.11 < V< 0.33 m/s is determined experimentally and is expressed as h=5.05 kairRe131D, where the diameter Dis 0.1 m. Oranges are cooled by refrigerated air at 5°C and 1 atm at a velocity of 0.3 m/s. Given: The thermal conductivity of the orange is given to be k = 0.50 W/m-°C. The thermal conductivity and the...
1)
2)
3)
PROJECT #1 (2.5 Marks): The heat that is conducted through a body must frequently be removed by other heat transter processes. For example, the heat generated in an electronic device must be dissipated to the surroundings through convection by means of fins. Consider the one-dimensional aluminum fin (thickness t 3.0 mm, width Z 20 cm, length L) shown in Figure 1, that is exposed to a surrounding fluid at a temperature 1. The conductivity of the aluminum...
QUESTION 1 (10 marks) a) Write the Newton's law of heat convection in fluid using convection heat transfer coefficient, h (Wm2.K). Please explain the equation in terms of its driving force and resistancC (2 marks) (POUCOI/C2) b) Define the heat transfer rate, q,by inside and outside convection and wall conduction considering a stainless steel cylindrical pipe (inside radius, ri and outer radius, ) with fiberglass insulator (radius, s) in ą steady state condition as shown in Figure Q11 Steam with...
Question You are studying heat transfer through a spherical shell container with a thermal conductivity k. The inner and outer radii are identified as a and b, respectively. The inside surface of the shell is exposed to a constant heat flux in the outward direction. The outside surface temperature of the container is measured at Note that only the variables values provided in the problem statement are known. Assume steady one-dimensional radial heat transfer a. Give the mathematical formulation of...
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,...
Please post with matlab code asap!
1- Temperature distribution in a part of a heat exchanger in the steady state condition should be determined. The part is shown in Figure-l has a thermal conductivity of k-25W/m.K and dimensions and boundary conditions are specified in Figure-1 and Figure-2 respectively Develop a computer code to find the temperature distribution in the part (use Δ-Δ-1 mm). Under operating conditions for which ho-1000 W/m2K, T-o-1 700 K. h= 200 W/m2 K, and T 400...
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