A flat plate of width I m and length 0.2 m is maintained at a temperature of 32 °C. Water at 22 °C flows across the top of the plate in parallel flow (see diagram below). Determine (a) the average convection heat transfer coefficient, and (b) the convection heat transfer rate from the top of the plate when water has a flow rate of 0.5 m/s. Assume steady-state, and find water properties in the "Given information page".

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Given information page
Material properties
Density
Heat
Thermal
Dynamic
conductivity | Viscosity
(N•s/ m²)
2.30×10*
3.06 ×10
3.70×10
4.24 x105
Prandtl
Emissivity
(kg/m³) | capacity
(J/kg-K)
1014
number
(W/m-K)
0.871
0.69
Air (at ~400 K)
Air (at ~600 K)
0.0338
0.580
1051
0.047
0.69
1099
Air (at ~800 K)
Air (at ~1000 K)
0.435
0.0573
0.71
0.348
1141
0.0667
0.73
Milk
1030
3860
water
1000
4187
0.613
8.57 ×104
5.83
Some conversions
1 W = 1 J/s
1 N = 1 kg· m/ s²
1 m = 1000 L
General constants
Stefan-Boltzmann constant :o = 5.670×10* W/m²·K*
Correlations
Churchill-Bernstein correlation: Forced convection past a cylinder in cross flow
1/2
0.62 Re2 Pr/3
Rep
Nup
= 0.3 +
[1+
282000,
(0.4\3,
[1 + ()*1/4
Tsurface+T∞
Evaluate all properties at the film temperature Tf
2
Forced external convection, laminar flow
Nux = 0.664 Re,2 Pr1/3
Forced external convection, turbulent flow
4/5
Nux
= 0.036 Re Pr1/3
Transcribed Image Text:Given information page Material properties Density Heat Thermal Dynamic conductivity | Viscosity (N•s/ m²) 2.30×10* 3.06 ×10 3.70×10 4.24 x105 Prandtl Emissivity (kg/m³) | capacity (J/kg-K) 1014 number (W/m-K) 0.871 0.69 Air (at ~400 K) Air (at ~600 K) 0.0338 0.580 1051 0.047 0.69 1099 Air (at ~800 K) Air (at ~1000 K) 0.435 0.0573 0.71 0.348 1141 0.0667 0.73 Milk 1030 3860 water 1000 4187 0.613 8.57 ×104 5.83 Some conversions 1 W = 1 J/s 1 N = 1 kg· m/ s² 1 m = 1000 L General constants Stefan-Boltzmann constant :o = 5.670×10* W/m²·K* Correlations Churchill-Bernstein correlation: Forced convection past a cylinder in cross flow 1/2 0.62 Re2 Pr/3 Rep Nup = 0.3 + [1+ 282000, (0.4\3, [1 + ()*1/4 Tsurface+T∞ Evaluate all properties at the film temperature Tf 2 Forced external convection, laminar flow Nux = 0.664 Re,2 Pr1/3 Forced external convection, turbulent flow 4/5 Nux = 0.036 Re Pr1/3
A flat plate of width 1 m and length 0.2 m is maintained at a temperature of 32 °C. Water at 22 °C
flows across the top of the plate in parallel flow (see diagram below). Determine (a) the average
convection heat transfer coefficient, and (b) the convection heat transfer rate from the top of the
plate when water has a flow rate of 0.5 m/s.
Assume steady-state, and find water properties in the "Given information page".
Water
w = 1 m
L= 0.2 m
Transcribed Image Text:A flat plate of width 1 m and length 0.2 m is maintained at a temperature of 32 °C. Water at 22 °C flows across the top of the plate in parallel flow (see diagram below). Determine (a) the average convection heat transfer coefficient, and (b) the convection heat transfer rate from the top of the plate when water has a flow rate of 0.5 m/s. Assume steady-state, and find water properties in the "Given information page". Water w = 1 m L= 0.2 m
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