follow the format to answer the question 2. The following is the standard format for organizing and presenting the solution to a fluid mechanicsproblem. Use this (or similar clear, organized, logical procedure) in your homework.(a) Problem Description - include the following:• Given information and basic description.• Schematic of problem/geometry. Clearly indicate system/control volume considered,coordinate system, any other relevant information.• What is to be determined.(b) List of Assumptions - list all appropriate simplifying assumptions.(c) Basic Equations - general form of relevant fundamental laws, equations, definitions.(d) Analysisclearly describe procedure to apply/manipulate/reduce equations to give solution.• reference all tables and charts needed for physical properties and other data.• substitute numerical values into final equations. be sure to specify all unitsand unit conversions.• keep significant figures consistent with given data.• check solution - correct sign, reasonable numerical values?• clearly indicate final answer(s) with underline or box.(e) Discussion of Solution - as needed (what you learned, key aspects of solution, etc). A viscous fluid with constant p and u flows through an inclined circular pipe with radius, R, andlength, L. The pipe is inclined upwards and ø is the angle between the pipe and horizontal (ø > 0 ifinclined upwards). The gravity vector, j = -gk, acts downward in the vertical direction. The flow issteady, incompressible, fully developed, axisymmetric, laminar, and there is no swirl. Assume both anapplied constant pressure gradient, ôp/ðx, and gravity influences the flow.a. As done in class, perform differential analysis (begin with general equations (6.33) and (6.128))and determine the velocity profile in the pipe. Show all steps.b. Derive expressions for the wall shear stress and volume flow rate (in terms of pressure drop, Ap).960 kg/m³) flowing through a 30 mm-diameter, 12 m long pipe inclinedc. Consider castor oil (pupwards with ø = 30°. The pressure drop (over length of pipe) is 350 kPa. Determine: (i) shearstress (N/m²) on the pipe wall (magnitude and direction), (ii) maximum velocity (m/s), (iii)volume flow rate (m³ /s), and (iv) verify that it is laminar flow.

Problem Description: Given: Angle of inclination of pipe =ϕ gravity vector, g→=-gk^…

Answered: A viscous fluid with constant p and µ…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...

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follow the format to answer the question

2. The following is the standard format for organizing and presenting the solution to a fluid mechanics
problem. Use this (or similar clear, organized, logical procedure) in your homework.
(a) Problem Description - include the following:
• Given information and basic description.
• Schematic of problem/geometry. Clearly indicate system/control volume considered,
coordinate system, any other relevant information.
• What is to be determined.
(b) List of Assumptions - list all appropriate simplifying assumptions.
(c) Basic Equations - general form of relevant fundamental laws, equations, definitions.
(d) Analysis
clearly describe procedure to apply/manipulate/reduce equations to give solution.
• reference all tables and charts needed for physical properties and other data.
• substitute numerical values into final equations. be sure to specify all units
and unit conversions.
• keep significant figures consistent with given data.
• check solution - correct sign, reasonable numerical values?
• clearly indicate final answer(s) with underline or box.
(e) Discussion of Solution - as needed (what you learned, key aspects of solution, etc).

Transcribed Image Text:A viscous fluid with constant p and u flows through an inclined circular pipe with radius, R, and length, L. The pipe is inclined upwards and ø is the angle between the pipe and horizontal (ø > 0 if inclined upwards). The gravity vector, j = -gk, acts downward in the vertical direction. The flow is steady, incompressible, fully developed, axisymmetric, laminar, and there is no swirl. Assume both an applied constant pressure gradient, ôp/ðx, and gravity influences the flow. a. As done in class, perform differential analysis (begin with general equations (6.33) and (6.128)) and determine the velocity profile in the pipe. Show all steps. b. Derive expressions for the wall shear stress and volume flow rate (in terms of pressure drop, Ap). 960 kg/m³) flowing through a 30 mm-diameter, 12 m long pipe inclined c. Consider castor oil (p upwards with ø = 30°. The pressure drop (over length of pipe) is 350 kPa. Determine: (i) shear stress (N/m²) on the pipe wall (magnitude and direction), (ii) maximum velocity (m/s), (iii) volume flow rate (m³ /s), and (iv) verify that it is laminar flow.

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