Read e-book online An Introduction to Fluid Mechanics and Transport Phenomena PDF

By G. Hauke

ISBN-10: 1402085362

ISBN-13: 9781402085369

ISBN-10: 1402085370

ISBN-13: 9781402085376

This e-book offers the rules of fluid mechanics and delivery phenomena in a concise approach. it really is compatible as an advent to the topic because it comprises many examples, proposed difficulties and a bankruptcy for self-evaluation.

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Extra resources for An Introduction to Fluid Mechanics and Transport Phenomena

Sample text

As an example, heat in a solid propagates by diffusion. In a closed room, a scent placed in a corner ends up diffusing to the whole space. Another important characteristic of diffusive transport is that variations of fluid properties must exist. If the fluid variable is constant, then there is no transport by diffusion for that property. v Fig. 5. Transport of a river spillage by convection and diffusion. But in fluids it is common that both transport phenomena occur simultaneously. For example, let us take the spillage in the river of Fig.

E. τ11 , τ22 and τ33 . 4 (Shear or tangential stress). e. τ12 , τ13 , τ21 , τ23 , τ31 and τ32 . 3. In Cartesian coordinates, the components of the stress tensor are also denoted by τxx , τyy , τzz , τxy , τxz , and τyz . 3 D fs τ 12 n τ 21 τ 22 τ 23 τ 11 τ 13 P τ 31 C 2 τ 32 τ 33 B 1 Fig. 3. Infinitesimal tetrahedron employed to obtain the stress tensor at the point P. Derivation of the Stress Tensor In order to determine the general expression of the stress at a point P from the stresses on three perpendicular planes, let us select the infinitesimal fluid volume of Fig.

Then, proceed in three steps: 1. Integrate the equation of motion. 2. Calculate the integration constants, such that at time ξ < t the fluid particle was at (x0 , y0 ). Here ξ is the parameter that designates the particle, by the time it passed through the injection point. What we have done is to obtain all the trajectories of the particles that were injected in the flow field before the present time t. 3. Eliminate ξ. 10 (Streakline). In the flow field of the previous example, determine the streakline that passes by x0 , y0 .

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An Introduction to Fluid Mechanics and Transport Phenomena by G. Hauke


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