Consider a thin sheet of 20 cm (width) x 20 cm (length) × 1 cm (thickness) with its top surface covered by a coating layer (thickness 2 mm). The water is flowing over the coating layer with a free stream temperature of 20 °C and velocity of 10 m/s. All the other surfaces are well insulated, and the sheet and the coating have a uniform initial temperature of 95 °C (at t=0). U∞ = 10 m/s Too=20°C 2 mm Coating 1 cm Sheet T=95°C 20 cm m 20 cm P assume: steady state external flow •uniform initial teme @ coating (a) At t = 0, determine the heat transfer rate from the coating surface to the water. average (b) Determine the Biot number of the sheet. (c) How long does it take for the top surface of the sheet to be cooled to 30 °C? Properties of water: v₁ = 4.97×104 m²/s, k = 0.65 W/m K, d=0.143×10-6 m²/s, and Prw = 3.15. Properties of the sheet: ps = 8400 kg/m³, Cp.s= 420 J/kg K, and ks = 10 W/m K. Properties of the coating: kc = 0.04 W/m.K.
Consider a thin sheet of 20 cm (width) x 20 cm (length) × 1 cm (thickness) with its top surface covered by a coating layer (thickness 2 mm). The water is flowing over the coating layer with a free stream temperature of 20 °C and velocity of 10 m/s. All the other surfaces are well insulated, and the sheet and the coating have a uniform initial temperature of 95 °C (at t=0). U∞ = 10 m/s Too=20°C 2 mm Coating 1 cm Sheet T=95°C 20 cm m 20 cm P assume: steady state external flow •uniform initial teme @ coating (a) At t = 0, determine the heat transfer rate from the coating surface to the water. average (b) Determine the Biot number of the sheet. (c) How long does it take for the top surface of the sheet to be cooled to 30 °C? Properties of water: v₁ = 4.97×104 m²/s, k = 0.65 W/m K, d=0.143×10-6 m²/s, and Prw = 3.15. Properties of the sheet: ps = 8400 kg/m³, Cp.s= 420 J/kg K, and ks = 10 W/m K. Properties of the coating: kc = 0.04 W/m.K.
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
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Transcribed Image Text:Consider a thin sheet of 20 cm (width) x 20 cm (length) × 1 cm (thickness) with its top surface
covered by a coating layer (thickness 2 mm). The water is flowing over the coating layer with a
free stream temperature of 20 °C and velocity of 10 m/s. All the other surfaces are well insulated,
and the sheet and the coating have a uniform initial temperature of 95 °C (at t=0).
U∞ = 10 m/s
Too=20°C
2 mm
Coating
1 cm Sheet
T=95°C
20 cm m
20 cm
P
assume:
steady state
external flow
•uniform initial
teme @ coating
(a) At t = 0, determine the heat transfer rate from the coating surface to the water. average
(b) Determine the Biot number of the sheet.
(c) How long does it take for the top surface of the sheet to be cooled to 30 °C?
Properties of water: v₁ = 4.97×104 m²/s, k = 0.65 W/m K, d=0.143×10-6 m²/s, and Prw = 3.15.
Properties of the sheet: ps = 8400 kg/m³, Cp.s= 420 J/kg K, and ks = 10 W/m K.
Properties of the coating: kc = 0.04 W/m.K.
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