Two infinite parallel plates separated by a distance of H with the upper plate moving at a vec U with respect to the lower plate are given. An incompressible, constant-property fluid moves through the two plates because of the movement of the upper plate. Assume laminar flow. Lower plate releases a constant heat flux of q , into the liquid and the upper plate is insulated. 1. Reduce mass, momentum and energy equations to their simpler forms for this situation. Use these expressions as their original forms. ốp (pu)+ (pv)= 0 ду du du du a'u a'u + pu +pv Əx ду Əx Əx a'v av + pu av + ρν ây ду Əx T + pc̟u at T T + pcu ду = k +k 2. Derive algebraic expressions for velocity, and temperature profiles between the two plates. 3. Derive an expression for Nusselt number at the lower plate using the temperature profile. What is the value of Nusselt number at the top plate and why?

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
icon
Related questions
Question
plz solve question 3 with explanation it within 30-40 mins I'll give you multiple upvote
Two infinite parallel plates separated by a distance of H with the upper plate moving at a velocity
U with respect to the lower plate are given. An incompressible, constant-property fluid moves
through the two plates because of the movement of the upper plate. Assume laminar flow. Lower
plate releases a constant heat flux of q , into the liquid and the upper plate is insulated.
1. Reduce mass, momentum and energy equations to their simpler forms for this situation.
Use these expressions as their original forms.
ôp, a
(pu)+ (pv) =0
du
du
du
a'u
a'u
+ pu
+pv
Əx
av
a'v
av
+ ρν
Əx
+ pu
%3D
ây
Əx
T
T
+ pc,u-
at
+ pc,u-
= k
+k
2. Derive algebraic expressions for velocity, and temperature profiles between the two plates.
3. Derive an expression for Nusselt number at the lower plate using the temperature profile.
What is the value of Nusselt number at the top plate and why?
Transcribed Image Text:Two infinite parallel plates separated by a distance of H with the upper plate moving at a velocity U with respect to the lower plate are given. An incompressible, constant-property fluid moves through the two plates because of the movement of the upper plate. Assume laminar flow. Lower plate releases a constant heat flux of q , into the liquid and the upper plate is insulated. 1. Reduce mass, momentum and energy equations to their simpler forms for this situation. Use these expressions as their original forms. ôp, a (pu)+ (pv) =0 du du du a'u a'u + pu +pv Əx av a'v av + ρν Əx + pu %3D ây Əx T T + pc,u- at + pc,u- = k +k 2. Derive algebraic expressions for velocity, and temperature profiles between the two plates. 3. Derive an expression for Nusselt number at the lower plate using the temperature profile. What is the value of Nusselt number at the top plate and why?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Applied Fluid Mechanics
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.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY