Problem 5.93 - Problem 5.93 Given: Find: [Difficulty: 2]...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Problem 5.93 [Difficulty: 2] Given: Velocity profile for fully developed laminar flow in a tube Find: (a) Express shear force per unit volume in the x-direction (b) Maximum value at these conditions Solution: We will evaluate a differential volume of fluid in this flow field Assumptions: (1) Steady flow The differential of shear force would be: dF shear τ d τ () 2 π r dz dr τ 2 π r dz dr 2 π r d τ dz dr and in cylindrical coordinates: dF sz dV 1 2 π r dr dz r r τ d d 2 π dr dz 1 r r r μ r u d d d d From the given profile: r u d d u max 2r R 2 Therefore:
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online