Fundamentals of Momentum, Heat and Mass Transfer
Fundamentals of Momentum, Heat and Mass Transfer
6th Edition
ISBN: 9781118804292
Author: WELTY
Publisher: DGTL BNCOM
Question
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Chapter 9, Problem 9.13P

(a)

Interpretation Introduction

Interpretation:

The fluid acceleration, pressure force, and viscous force all lie in the same plane are to be proved.

Concept Introduction :

The fluid acceleration, pressure force, and viscous force all lie in the same plane are to be proved by using the Navier-Stokes equation in the vector form and the law of the vector addition.

The Navier-Stokes equation in vector form is,

  ρDVDt=ρgP+μ2V

(b)

Interpretation Introduction

Interpretation:

The fluid accelerates in the direction of the decreasing pressure in the absence of the viscous forces is to be proved.

Concept Introduction :

The fluid accelerates in the direction of the decreasing pressure in the absence of the viscous forces is proved by suing the Navier-Stokes equation in vector form.

The Navier-Stokes equation in vector form is,

  ρDVDt=ρgP+μ2V

(c)

Interpretation Introduction

Interpretation:

A static fluid will always start to move in the direction of the decreasing pressure is to be proved.

Concept Introduction :

The Bernoulli’sprinciple is used to prove the flow condition of a static fluid.

The Bernoulli’sequation is,

  P1ρ+V122+gZ1=P2ρ+V222+gZ2

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The power out of an adiabatic steam turbine is 5 MW and the steam enters turbine at 2 MPa and velocity of 50 m/s, specific enthalpy (h) of 3248 kJ/kg. The elevation of the inlet is 10 m higher than at the datum. The vapor mixture exits at 15 kPa and a velocity of 180 m/s, specific enthalpy (h) of 2361.01 kJ/kg. The elevation of the exit is 6 m higher than at the datum. Let g = 9.81 m/s². Assuming the ideal gas model and R = 0.462 KJ/(kg.K). The steam specific heat ratio is 1.283. Calculate:
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