1. The Stokes-Oseen formula for drag force Fon a sphere of diameter D in a fluid stream of low velocityV, density p, and viscosity u is:9TF = 3TuDV +16PD?Is this formula dimensionally homogenous?2. The efficiency n of a pump is defined as the (dimensionless) ratio of the power required to drive apump:QApinput powerWhere Q is the volume rate of flow and Ap is the pressure rise produced by the pump. Suppose that acertain pump develops a pressure of Ibf/in? (1ft = 12 in) when its flow rate is 40 L/s (1L =0.001 m). Ifthe input power is 16hp (1hp = 760 W), what is the efficiency?

The dimensions of the drag force is as follows: F=kg·ms2F=MLT2F=MLT-2 The dimensions of 3πμDV is as…

Answered: 1. The Stokes-Oseen formula for drag…

1. The Stokes-Oseen formula for drag force Fon a sphere of diameter D in a fluid stream of low velocity V, density p, and viscosity u is: F = 3TuDV + 16PVD Is this formula dimensionally homogenous?

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 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...

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Question

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1. The Stokes-Oseen formula for drag force Fon a sphere of diameter D in a fluid stream of low velocity
V, density p, and viscosity u is:
9T
F = 3TuDV +
16PD?
Is this formula dimensionally homogenous?
2. The efficiency n of a pump is defined as the (dimensionless) ratio of the power required to drive a
pump:
QAp
input power
Where Q is the volume rate of flow and Ap is the pressure rise produced by the pump. Suppose that a
certain pump develops a pressure of Ibf/in? (1ft = 12 in) when its flow rate is 40 L/s (1L =0.001 m). If
the input power is 16hp (1hp = 760 W), what is the efficiency?

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