By L. Gary Leal
Complicated shipping Phenomena is perfect as a graduate textbook. It encompasses a precise dialogue of recent analytic tools for the answer of fluid mechanics and warmth and mass move difficulties, concentrating on approximations in response to scaling and asymptotic equipment, starting with the derivation of simple equations and boundary stipulations and concluding with linear balance conception. additionally lined are unidirectional flows, lubrication and thin-film idea, creeping flows, boundary layer conception, and convective warmth and mass shipping at low and high Reynolds numbers. The emphasis is on easy physics, scaling and nondimensionalization, and approximations that may be used to procure strategies which are due both to geometric simplifications, or huge or small values of dimensionless parameters. the writer emphasizes developing difficulties and extracting as a lot info as attainable wanting acquiring precise options of differential equations. The booklet additionally specializes in the recommendations of consultant difficulties. This displays the book's target of training readers to contemplate the answer of delivery difficulties.
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Additional info for Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge Series in Chemical Engineering)
And in principle how it might be “corrected” to account for convection of momentum (or vorticity) for the realistic case of flows in which Re is small but nonzero. We then go on to consider the generalization of the analysis of heat transfer problems for small Peclet numbers. These generalizations clearly illustrate the power of the asymptotic method to provide insight into the form of correlations between dimensionless parameters, with a minimum of detailed analysis. First, we show that the detailed analysis that we developed for a sphere actually can be applied with no extra work to obtain the first correction to Nu for bodies of arbitrary shape in a uniform flow (or where the body is sedimenting through an otherwise motionless fluid).
However, these local random motions will generally lead to a net flux of heat or momentum across the same surface. To illustrate this fact, we may adopt the simplest model fluid – the billiard-ball gas – and refer to the simple situation shown in Fig. 2–1. Here we consider a “fluid” made up of two species–namely, black billiard balls and white billiard balls, which are identical apart from their color. By “billiard-ball gas” we mean that the molecules are modeled as hard spheres that interact only when they collide.
The next section of the chapter develops the key ideas of the asymptotic boundary-layer theory. This is first applied to the classic Blasius problem of flow past a horizontal flat plate and then considers the class of problems in which self-similar solutions of the boundary-layer equations are possible. This is followed by the Blasius series solution for flow past nonstreamlined bodies and the application of this theory to the problem of flow past a circular cylinder. This exposes a key result, which is the ability of boundary-layer theory to predict the onset of “separation” and thus to determine whether a two-dimensional body (such as an airfoil) is sufficiently streamlined to avoid “form” drag.
Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge Series in Chemical Engineering) by L. Gary Leal
Categories: Fluid Dynamics