A 15 cm x 20 cm hot surface at 85°C is to be cooled by attaching 4 cm long aluminum (k = 237 W/m-°C) fins of 2 mm x 2 mm square cross section. The temperature of surrounding medium is 25°C and the heat transfer coefficient on the surfaces can be taken to be 20 W/m²-°C. If it is desired to triple the rate of heat transfer from the bare hot surface, determine the number of fins that needs to be attached. plot the number of fins as a function of the increase in the heat loss by fins relative to no fin case (i.e., overall effectiveness of the fins) in the range of 1.5 to 5. Discuss the results.

A 15 cm x 20 cm hot surface at 85°C is to be cooled by attaching 4 cm long aluminum (k = 237 W/m-°C) fins of 2 mm x 2 mm square cross section. The temperature of surrounding medium is 25°C and the heat transfer coefficient on the surfaces can be taken to be 20 W/m²-°C. If it is desired to triple the rate of heat transfer from the bare hot surface, determine the number of fins that needs to be attached. plot the number of fins as a function of the increase in the heat loss by fins relative to no fin case (i.e., overall effectiveness of the fins) in the range of 1.5 to 5. Discuss the results.

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

Related questions

Q: Consider a 10m deep wall with a cross section as shown below. If the temperature on the left side of…

Q: pump has a specific speed of 45 and 600rpm when it delivers 0.01m3/s. Find the head developed by the…

Q: The outside wall of a building consists of an inner layer of gypsum plaster, k = 0.17 W/ m K and 1.5…

Q: You are trying to assess the performance of a heat sink with fins. It has straight rectangular…

Q: 2. Compare the heat loss from insulated and uninsulated copper pipe (k-400 W/m K) under the…

A: Given:The thermal conductivity of the copper is The pipe internal diameter isThe pipe outside…

Q: A steel pipe having a 0.05m outer diameter is covered with a 0.042 m thick layer of magnesia (kes…

A: Givend=0.05mt1=0.042mkmg=0.07 W/m.Kt2=0.024mkf=0.048 W/mKT1=370KT3=305 K

Q: Rock has often been suggested as a medium for the thermal storage of energy. A cylindrical piece of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A 50-meter-long cast iron pipe with a 10-centimeter outside diameter goes through a 288 K…

Q: A pin fin of 2024-T6 aluminum has a length and diameter of 8.0 cm and 6.0 mm, respectively. The base…

A: Given Data Diameter =8cm Length L=6 mm Q=2.50 watt h=30 W/m2K K=120 W/mK

Q: A 5 cm long rectangular fin with a cross-section of 2 mmx5 mm is being used on a heated surface.…

Q: Consider a large plane wall of thickness 2L=20mm. Both surfaces of the wall are convectively cooled…

A: we can get a solution by using a space increment of ∆x=2mm. The nodal network will yield 6 unknown…

Q: Consider a 10m deep wall with a cross section as shown below. If the temperature on the left side of…

Q: Oil whose temperature is 30°C is flowed through a pipe with a diameter of 50 cm. The pipe is in an…

Q: The efficiency of a single cylindrical cross-section fin is 85%. The diameter of the fin is 13 mm…

Q: consider a large plane wall of thickness 0.21 m, thermal conductivity k=1.2 w/m-c and surface area…

Q: Two large stainless steel plates at temperatures of 90°C and 70°C are separated by a stainless steel…

A: The diameter of the pipe is d=2.5 cm. The length of the pipe is L=0.3 m The thermal conductivity of…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

A 15 cm x 20 cm hot surface at 85°C is to be cooled by attaching 4 cm long aluminum (k = 237 W/m-°C)
fins of 2 mm x 2 mm square cross section. The temperature of surrounding medium is 25°C and the heat
transfer coefficient on the surfaces can be taken to be 20 W/m²-°C. If it is desired to triple the rate of heat
transfer from the bare hot surface, determine the number of fins that needs to be attached. plot the number
of fins as a function of the increase in the heat loss by fins relative to no fin case (i.e., overall effectiveness
of the fins) in the range of 1.5 to 5. Discuss the results.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: The given values and to find is given below :

VIEW

Step 2: Let the number of fins be n :

VIEW

Step 3: The number of fins is calculated :

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Electrically heated draw batch furnaces are commonly used in the heat treatment industry. Consider a draw batch furnace front made of a 20-mm thick steel plate with a ther- mal conductivity of 25 W/m-K. The furnace is situated in a room with surrounding air temperature of 20 C and an aver- age convection heat transfer coefficient of 10 W/m2-K. If the inside surface of the furnace front is subjected to uniform heat flux of 5 kW/m2 and the outer surface has an emissiv- ity of 0.30, determine the inside surface temperature of the furnace front. I= 20°C Furnace front 4=5kW/m Air, 20 C h= 10 W/m K E=0,30 A= 25 Wim K Page 4.
700 W/m3 electrical heat is generated in a large plane wall whose one side is insulated while the other side is subjected to convection. The thermal conductivity of the wall is (k W/m.K) and the convection heat transfer coefficient is (h = 17 W/m?K). Determine the location and the value for the maximum temperature and the minimum temperature in the plate for steady one-dimensional heat transfer. Assume T. = 25°C. A=1 m?; L= 25 cm). = 20
Consider the base plate of a 750-W household iron with a thickness of L=0.6 cm, base area of A=170 cm2, and thermal conductivity of k=22 W/m.oC. The inner surface of the base plate is subjected to uniform heat flux generated by the resistance heaters inside. When steady operating conditions are reached, the outer surface temperature of the plate is measured to be 85 oC. Disregarding any heat loss through the upper part of the iron, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the plate, (b) obtain a relation for the variation of temperature in the base plate by solving the differential equation, and (c) evaluate the inner surface temperature.
In an experiment to measure the thermal conductivity of a plate of unknown material with area 1 m2 and thickness 0.1m, one of its surfaces is maintained at 100 °C and the other at 20 °C and a heat at the rate of 100 kW was supplied across it. Determine the thermal conductivity of the hot plate. Is the material metallic, non-metallic, or gas/liquid?
Q4/A 2-mm-diameter and 10-m-long electric wire is tightly wrapped with a 1-mm-thick plastic cover whose thermal conductivity is k-0.15 W/m "C. Electrical measurements indicate that a current of 10 A passes through the wire and there is a voltage drop of 8 V along the wire. If the insulated wire is exposed to a medium at Ts= 30°C with a heat transfer coefficient of h-24 W/m² C, determine the temperature at the interface of the wire and the plastic cover in steady operation. Also find the critical radius of plastic insulation. [334 T=30°C Electrical wire Insulation bale 10 m
The thermal conductivity of a solid material can be determined using asetup similar to the one shown in the accompanying figure. The thermocouples are placed at 2.5 cm intervals in the known material (copper alloy, k - 52 w/m.k) and the unknown sample, as shown. The known material is heated on the top by a heating element, and the bottom surface of the sample is cooled by running water through the heat sink shown. Determine the thermal conductivity of the unknown sample for the set of data given in the accompanying table. Assume no heat loss to the surroundings and perfect thermal contact at the common interface of the sample and the copper.