Transport Phenomena I Essentials
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Reviews for Transport Phenomena I Essentials
3 ratings2 reviews
- Rating: 3 out of 5 stars3/5The book is good for review of formulas... does not have solved numericals...few derivation..
- Rating: 3 out of 5 stars3/5almost like a Formulas cheat sheet ...all in one....
Book preview
Transport Phenomena I Essentials - The Editors of REA
TEST
CHAPTER 1
VISCOSITY AND THE MECHANISM OF FLUID FLOW
1.1 INTRODUCTION
A fluid may be defined as a substance that changes its shape continuously under the application of a shear stress no matter how slight the shear.
1.2 FLUID STATICS
1.2.1 PRESSURE IN A STATIC FLUID
The pressure at any point of a static fluid is the result of the force exerted by its liquid mass per unit of area. Consider for instance, a vessel of constant cross-sectional area containing a fluid as shown in Figure 1-1. The pressure exerted by the fluid at any height h is given by
(1.1)
where ρ = density
g = gravity
h = height
Fig. 1.1
From equation (1.1) one can conclude that the pressure will be constant at any cross-section, but will vary with height. Thus, the pressure at the bottom of the vessel will be
(1.2)
If the total pressure at the bottom is desired, one must add the pressure at section (1) (Patm in this case). Therefore,
(1.3)
1.2.2 DEVICES TO MEASURE PRESSURE DIFFERENCES
(a) Simple Manometer:
This is a U-shaped tube with pressures P1 and P2 on each arm, respectively, which can be pressure tabs from a fluid meter or one end could be opened to the atmosphere. The device is filled with two immiscible fluids having distinct densities, ρA for the lighter fluid A and ρB for the heavier fluid B, where ρA < ρB (see Fig. 1-2).
The difference in pressures (P1 - P2) is measured as
(1.4)
where H = Reading of the manometer
(difference of level of two fluids)
Fig. 1.2
(b) Differential Manometer:
This device, also known as a two-fluid U-tube manometer, is helpful to measure small pressure differences, ΔP which is given by
where H = reading of the manometer and ρB < ρC (fluid B is lighter than fluid C).
Fig. 1.3 Differential Manometer
1.3 FORMS OF FLUID FLOW
1.3.1 LAMINAR OR VISCOUS FLOW
This is a well ordered flow pattern