Fluid Flow for the Practicing Chemical Engineer (Essential by James P. Abulencia, Louis Theodore

By James P. Abulencia, Louis Theodore

This ebook teaches the basics of fluid circulation through together with either conception and the functions of fluid circulation in chemical engineering. It places fluid move within the context of alternative delivery phenomena corresponding to mass move and warmth move, whereas masking the fundamentals, from straight forward circulation mechanics to the legislation of conservation. The ebook then examines the functions of fluid circulate, from laminar circulation to filtration and ventilization. It closes with a dialogue of exact subject matters concerning fluid stream, together with environmental issues and the commercial fact of fluid movement purposes.

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2. Flow is laminar. 3. The fluid density is constant. 1 A fluid of viscosity p i s flowing in the y-direction between two infinite horizontal parallel plates. The velocity profile of the fluid is given by uy = v (; - 2) where Vand h are constants. Calculate the shear stress at the surface z = 0 in terms of p, V, and h. Sohtion This problem is solved using rectangular coordinates. First note that u, and u, equal zero and uy is solely a function of z. 1, %=-- P gc ' (a,+ az go _ _ _d- v ~ (since vy is solely a function of z) gc dz + n 3'1 L n Q lL& + + + n W I- *I 3 *I 3 *I 3 *I3 II II II II I I s 0 t-" n 3'1 L I I z ,B .

Determine the dimensionless numbers of importance for this flow system. Solution A pictorial representation of the system in question is provided in Fig. 1. 1 . 2 D b I . 1 Pipe. 3 BUCKINGHAM Pi (4 THEOREM 15 List all parameters and find the value of n: Therefore n = 8. Choose primary units (employ SI) m, s, kg, K List the primary units of each parameter: AP [=I Pa = kg rn-l s-* v [=] m sp I [=I kg m-l s-l D [=] m L [=I m p [=]kg m-3 k [=]m c [=Im s-l Therefore r = 3 with primary units m, s, kg.

500. 7 Kinetic Energy Consider a body of mass, m, that is acted upon by a force, F. 23) The term above is defined as the change in kinetic energy. The reader should note that for flow through conduits, the above kinetic energy term can be retained as written if the velocity profile is uniform; that is, the local velocities at all points in the cross-section are the same. Ordinarily, there is a velocity gradient across the passage; this introduces an error, the magnitude of which depends on the nature of the velocity profile and the shape of the cross section.

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