Passage of an electric current through a long conducting rod of radius r; and thermal conductivity kr, esults in uniform volumetric heating at a rate of q.. The conduction rod is wrapped in an electrically non-conducting cladding material of radius ro and thermal conductivity ke and convection cooling is provided by an adjoining fluid. For steady-state conditions, a) Determine an expression for the heat transfer per unit length q', passing through the cladding in terms of 9, and ri. b) Determine an expression for T, the temperature of the cladding at 7; and also for To at ro. c) Calculate these cladding temperatures in °C when r and ro are 3 mm and 5 mm, ġ. = 200 kW/m³, ke = 0.15 W/m/K, T = 20°C and h = 20 W/m²/K. Conducting rod, å, k, Cladding, k d) Calculate the critical radius. To decrease the internal cladding temperature would it be necessary to increase or decrease ro; or should it remain unchanged? Explain. Th 201

Passage of an electric current through a long conducting rod of radius r; and thermal conductivity kr, esults in uniform volumetric heating at a rate of q.. The conduction rod is wrapped in an electrically non-conducting cladding material of radius ro and thermal conductivity ke and convection cooling is provided by an adjoining fluid. For steady-state conditions, a) Determine an expression for the heat transfer per unit length q', passing through the cladding in terms of 9, and ri. b) Determine an expression for T, the temperature of the cladding at 7; and also for To at ro. c) Calculate these cladding temperatures in °C when r and ro are 3 mm and 5 mm, ġ. = 200 kW/m³, ke = 0.15 W/m/K, T = 20°C and h = 20 W/m²/K. Conducting rod, å, k, Cladding, k d) Calculate the critical radius. To decrease the internal cladding temperature would it be necessary to increase or decrease ro; or should it remain unchanged? Explain. Th 201

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.23P

See similar textbooks

Similar questions

i need the answer quickly
Please don't provide handwritten solution ....
Thx
Q1 Passage of an electric current through a long conducting rod of radius r; and thermal conductivity k, results in uniform volumetric heating at a rate of ġ. The conduct- ing rod is wrapped in an electrically nonconducting cladding material of outer radius r, and thermal conduc- tivity k, and convection cooling is provided by an adjoining fluid. Conducting rod, ġ, k, 11 To Čladding, ke For steady-state conditions, write appropriate forms of the heat equations for the rod and cladding. Express ap- propriate boundary conditions for the solution of these equations.
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.
I need step by step and detailed explanations please help for understand, thank u :)
Consider a wall of thickness 50 mm and thermal conductivity 14 W/m.K, the left side (x-0) is insulated. Heat generation (q,) is present within the wall and the one dimensional steady-state temperature distribution is given by T(x) = ax +bx+c [°CJ, where c 200 °C, a = -1144 °C/m is the heat fluxes at the right side, x L, (kW/m)? b= needs to he determined, and x is in meters. What 9, K 4L) Insulation
Find the two-dimensional temperature distribution T(x,y) and midplane temperature T(B/2,W/2) under steady state condition. The density, conductivity and specific heat of the material are p= 62400 kg/m', k-400 W/m.K, and cp=2500 J/kg.K, respectively. A uniform heat flux q%=1000 W/m² is applied to 2. the upper surface. The right and left surfaces are also kept at 0°C. Bottom surface is insulated. 9% (W/m³) y4 T = 0 °C T = 0°C W= 520 cm B=1560 cm
The steady-state temperature distribution in a one-dimensional wall of thermal conductivity k=83 (W/m) °C) and thickness 300 mm is observed to be T(°C) = ax2+bx+c, where a = -2500 °C/m2 , b = 500 °C/m, c = 250 °C and x is in meters. a) What is the heat generation rate ?̇ (W/m3 ) in the wall ? b) Find the maximum and minimum temperatures in the wall. c) Find the amount of heat transferred to the right side of the wall (for 1 m2 surface area.)
A piece of metal is initially heated to 850°C and is quenched in water which temperature is kept at 50°C. The temperature decay constant of the system is 0.30/min. a.) Determine the temperature of the metal at any time, T(t), using Laplace Transforms. b.) Determine the time needed for the metal to be at 80°C.
Let's assume that the outdoor temperature in your region was 1 C on 26.12.2002. Let's assume that you use a 2088 W heater in the room in order to keep the indoor temperature of the room at 20 ° C. In the meantime, a 68 W light bulb for lighting, a computer you use to solve this question and load it into the system (let's assume it consumes 217 W of energy), you and your two friends (three people in total) are in the room to assist you in solving the questions. A person radiates 45 J of heat per second to his environment. When you consider all these conditions, calculate the exergy destruction caused by the heat loss from the exterior wall of your room.
A finned surface has been added to cool an electronic part. The surface temperature of the electronic part in contact with the fins is 60 ° C, the convection coefficient between the environment and the finned surface is 40 W / m².K and the heat conduction coefficient for the fin material (aluminum) is 180 w / m.K. a. If the electronic part has wings or no blades, the amount of heat per unit time (W) thrown into the environment, b. Find out wing effectiveness and efficiency?