Fundamentals of Momentum, Heat, and Mass Transfer
Fundamentals of Momentum, Heat, and Mass Transfer
6th Edition
ISBN: 9781118947463
Author: James Welty, Gregory L. Rorrer, David G. Foster
Publisher: WILEY
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Chapter 6, Problem 6.41P
Interpretation Introduction

Interpretation:

The change in the temperature between the inlet and the outlet of the pumping station is to be calculated.

Concept Introduction:

The general energy balance equation according to the first law of thermodynamics written for a control volume is:

  δQdtδWdt=C.S(e+Pρ)ρ(vn)dA+tC.VeρdV+δWμdt   ...... (1)

Here, C.S is the control surface over which the integral dA is taken, C.V is the control volume over which the integral dV is taken, ρ is the density of the fluid, v is the velocity vector, n is the direction of the vector v , δQ/dt is the rate of heat added (positive) or removed (negative) from the system, δW/dt is the rate of work done by (positive) or on (negative) the system, and δWμ/dt is the rate of work done to overcome the viscous effect at the control surface. The product vn is scalar defined as:

  vn=|v||n|cosθ

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