One-dimensional steady state heat transfer problem - Consider a 60-mm long aluminum fin W mK (k = 186 ) with thickness of 1 mm. The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of Tf = 15°C and convective heat transfer coefficient of h = 50- surface whose temperature is T₁ = 80° C. W m²K T base = 80 C T15 C h = 50 W/m2K The fin is utilized to remove heat from a Consider the problem as a one-dimensional steady state model and divide the fin into four (4) elements with equal size as shown in the figure above. Using the Finite Difference Method, obtain the discretization for each node (2,3,4, and 5). Please note that in addition to the conduction, each node (except 1) is exposed to lateral heat convection. So, you must include this factor when considering the heat balance on each node. For this problem A. Show the discretization for node 2 B. Show the discretization for node 5 C. Show the set of linear equations to be solved D. Show either the EES script or Matlab script E. Show the outcomes and make a plot of T vs x using Excel or Matlab F. Compute the total heat transfer by the fin based on the temperature outputs

One-dimensional steady state heat transfer problem - Consider a 60-mm long aluminum fin W mK (k = 186 ) with thickness of 1 mm. The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of Tf = 15°C and convective heat transfer coefficient of h = 50- surface whose temperature is T₁ = 80° C. W m²K T base = 80 C T15 C h = 50 W/m2K The fin is utilized to remove heat from a Consider the problem as a one-dimensional steady state model and divide the fin into four (4) elements with equal size as shown in the figure above. Using the Finite Difference Method, obtain the discretization for each node (2,3,4, and 5). Please note that in addition to the conduction, each node (except 1) is exposed to lateral heat convection. So, you must include this factor when considering the heat balance on each node. For this problem A. Show the discretization for node 2 B. Show the discretization for node 5 C. Show the set of linear equations to be solved D. Show either the EES script or Matlab script E. Show the outcomes and make a plot of T vs x using Excel or Matlab F. Compute the total heat transfer by the fin based on the temperature outputs

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

mK One-dimensional transient - Consider a 60-mm long aluminum fin (k = 186) with thickness of 1 mm. The width (into the paper) is 5 mm. The aluminum is exposed to air with an ambient temperature of Tf = 15°C and convective heat transfer coefficient of h from a surface whose temperature is T = 80° C. T base = 80 C kgK W m²K Tid=15 C h = 50 W/m2K a. Show the discretization for node 2 b. Show the discretization for node 5 C. Show the set of linear equations to be solved d. Show either the EES script or Matlab script and its explanation e. Make a plot of T of nodes 3 and 5 vs time using Excel or Matlab (1) 2 (2) 3 (3) 4 (4) = 50 The fin is utilized to remove heat Consider the problem above for transient analysis. Using either implicit or explicit method, obtain solution of temperatures until it reaches steady state. If you are using the explicit method, please select appropriate time step that ensures stability. If you are using implicit method, then any time step should be good. For this…
Required information Consider a large plane wall of thickness L = 0.4 m, thermal conductivity k= 1.8 W/m-K, and surface area A= 30 m The left side of the wall is maintained at a constant temperature of T = 90°C while the right side loses heat by convection to the surrounding air at Too = 25°C with a heat transfer coefficient of h = 24 W/m2.K. ok Assuming constant thermal conductivity and no heat generation in the wall, evaluate the rate of heat transfer through the wall. (Round your answer to the nearest whole number) ences The rate of heat transfer through the wall = W
Q2/ A plane wall (K =17 W/m.°C ) with (60 mm) thick. Both sides of the wall are insulated with ( 2 cm) layer of insulating material having (K=0.22 W/m.°C ) The heat transfer coefficient, considering convection on both sides of wall are ( 120 and 10 W/m.°C ) respectively. Calculate the heat transfer per unit area if the temperature difference across the wall is (90 °C).
W mk Two-dimensional transient- Consider a 60-mm long aluminum fin (k = 186 ) with thickness of 1 mm (into the paper). The width is 45 mm. The aluminum is exposed to air with an ambient temperature of T = 15°C and convective heat transfer coefficient of h = 50 The fin is utilized to remove heat from a surface whose temperature is T₂ = 80° C (left side). We will here assume that the convection perpendicular to the paper is not included. W m²K T= 80 CO 16 T = 80 C C 11 T= 80 C6 T = 80 C kgk C from t = 0 sec. 1 a. b. 17 C. d. e. 12 convection 18 13 60 mm convection 19 14 20 15 10 Consider the problem above for transient analysis. Using either implicit or explicit method, obtain solution of temperatures until it reaches steady state. If you are using the explicit method, please select appropriate time step that ensures stability. If you are using implicit method, then any time step should be good. For this problem, consider p = 2500 and C₂ = 900 Assume that initially, the fin is at 25°C,…
A pin fin of 2024-T6 aluminum has a length and diameter of 8.0 cm and 6.0 mm, respectively. The base of the fin is attached to a solid state electronic device that delivers 2.50 W to the fin. If the fin is surrounded by 25°C air where the heat transfer coefficient is 30 W/m²-K, what is the temperature of the base of the fin? 2.
The length of one side of a cube-shaped freezer cabinet is 11.8 m. your closetits base is perfectly insulated against heat transfer and the inner surface temperature is –5 °C, the outer surface temperatureand it is 59°C. To ensure that the thermal load of the cabinet is not less than 0.59 kWThe thickness of the styrofoam foam insulation (k=0.03 W/mK) to be applied to the upper and side surfacesWhat should be less?
How many inches of insulation are required to insulate a ceiling such that the surface temperature of the ceiling facing the living area is within 2°C of the room air temperature? Assume a heat transfer coefficient on both sides of the ceiling of 2.84 W/(m2 • K) and a thermal conductivity of 0.0346 W/(m . K) for the insulation. The ceiling is 1.27 cm thick plasterboard with a thermal conductivity of 0.433 W/(m . K). Room temperature is 20°C and attic temperature is 49°C.
Consider a power transistor encapsulated in an aluminum case that is attached at its base to a square aluminum plate of thermal conductivity k= 240W/m.K, thickness L= 6mm, and width W= 20mm. The case is joined to the plate by screws that maintain a contact pressure of 1 bar, and the back surface of the plate transfers heat by natural convection and radiation to ambient air and large surroundings at T∞ =Tsur -25°C. The surface has an emissivity of ε=0.9, and the convection coefficient is h=4 W/m².K. The case is completely enclosed such that heat transfer may be assumed to occur exclusively through the base plate. a) If the air-filled aluminum-to-aluminum interface is characterized by an area of A₁=2×10-4 m² and contact resistance of R+c= 1.375 K/W, what is the maximum allowable power dissipation if the surface temperature of the case, Ts,c, is not to exceed 85°C? S,C' Transistor case Ts. Pelec S,C' Enclosure W Isur Base plate, (k,ε) Interface, Ac Air Th 801 b) How much should the h be…
Consider a large plane wali of thickness L03 m thermal conductivity k25 /m K, end surfece aree A 12 m The left side of the well ot x=O is subjected to a net heat flux of go760 W/m while the temperature at that surfece is measured to be T 80°C Assuming constant thermal conductivity and no heat generation in the wall, ovaluate the temperature of the right surface of the wall at xEL The temperature of the right surfaoe of the wall at x Lis
Plate glass 5 mm thick at 200°C is to be cooled from both sides using air at 40°C. If surface cracks are to be avoided, determine the maximum value of convective heat transfer coefficient. Material properties are density = 2500 kg/m3, specific heat 670 J/kgK. Thermal conductivity 0.744 W/mk. Also determine the time required in this to cool the plate to 80°C.
A furnace wall consisting of three layers, first layer of insulation brick of 10 cm thickness of conductivity 0.24 W/mK. The face is exposed to gases at 950°C with a convection coefficient of 95 W/m2K. This layer is backed by a 15 cm layer of firebrick of conductivity 0.6 W/mK. The third layer is the plate backing of 10 mm thickness of conductivity 49 W/mK.. The plate is exposed to air at 30°C with a convection coefficient of 15 W/m?K. Determine the heat flow, the surface temperatures and the overall heat transfer coefficient. Also draw the equivalent circuit diagram.