19.16 A 0.2-m-wide plate, 0.8 m long, is placed on the bottom of a shallow tank. The plate is heated, and maintained at a constant surface temperature of 60 C. Liquid water 12 cm deep flows over the flat plate with bulk volumetric flow rate of 2.4 x 10-3 m³/s. The bulk liquid water temperature may be assumed to remain constant at 20 C as it flows along the length of the plate. Thermophysical properties of water are given in the table below. Temper Density, Viscosity, Heat ature p(kg/m³) μ (kg/ Capacity, Thermal Conductivity, (C) m-s) Cp (J/kg K) k (W/m K) 260 20 998.2 993 x 10-6 4282 0.597 40 992.2 658 × 10-6 4175 0.663 60 983.2 472 × 10-6 4181 0.658 a. What are the values of Rе and Pr for this convective heat- transfer process? Is the flow laminar or turbulent at the end of the plate? b. What is the local heat flux at a distance 0.5 m from the leading edge of the plate? c. What is the total heat-transfer rate from the plate surface? d. What are the thicknesses of the hydrodynamic and thermal boundary layers at the end of the plate?
19.16 A 0.2-m-wide plate, 0.8 m long, is placed on the bottom of a shallow tank. The plate is heated, and maintained at a constant surface temperature of 60 C. Liquid water 12 cm deep flows over the flat plate with bulk volumetric flow rate of 2.4 x 10-3 m³/s. The bulk liquid water temperature may be assumed to remain constant at 20 C as it flows along the length of the plate. Thermophysical properties of water are given in the table below. Temper Density, Viscosity, Heat ature p(kg/m³) μ (kg/ Capacity, Thermal Conductivity, (C) m-s) Cp (J/kg K) k (W/m K) 260 20 998.2 993 x 10-6 4282 0.597 40 992.2 658 × 10-6 4175 0.663 60 983.2 472 × 10-6 4181 0.658 a. What are the values of Rе and Pr for this convective heat- transfer process? Is the flow laminar or turbulent at the end of the plate? b. What is the local heat flux at a distance 0.5 m from the leading edge of the plate? c. What is the total heat-transfer rate from the plate surface? d. What are the thicknesses of the hydrodynamic and thermal boundary layers at the end of the plate?
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:19.16 A 0.2-m-wide plate, 0.8 m long, is placed on the bottom
of a shallow tank. The plate is heated, and maintained at a
constant surface temperature of 60 C. Liquid water 12 cm deep
flows over the flat plate with bulk volumetric flow rate of
2.4 x 10-3 m³/s. The bulk liquid water temperature may be
assumed to remain constant at 20 C as it flows along the length
of the plate.
Thermophysical properties of water are given in the table
below.
Temper Density,
Viscosity,
Heat
ature p(kg/m³)
μ (kg/
Capacity,
Thermal
Conductivity,
(C)
m-s)
Cp (J/kg K)
k (W/m K)
260
20
998.2
993 x 10-6
4282
0.597
40
992.2
658 × 10-6
4175
0.663
60
983.2
472 × 10-6
4181
0.658
a. What are the values of Rе and Pr for this convective heat-
transfer process? Is the flow laminar or turbulent at the end
of the plate?
b. What is the local heat flux at a distance 0.5 m from the
leading edge of the plate?
c. What is the total heat-transfer rate from the plate surface?
d. What are the thicknesses of the hydrodynamic and thermal
boundary layers at the end of the plate?
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