Abstract
Flow and heat transfer through the boundary layers of a falling liquid film on a vertical permeable plate subject to nonuniform suction flow are analyzed in this work. The continuity, momentum, and energy equations are transformed to nonsimilar equations and solved using a validated implicit and iterative finite difference method. Increases in the Froude number, Galilei number, and the dimensionless average suction velocity are found to increase the skin friction coefficient, the Nusselt number, and the heat transfer enhancement ratios. These enhancement ratios are noticed to increase at the plate exit as the suction velocity power-law index increases. The Froude number for uniform suction case required to attain the same enhancement ratios due to nonuniform distribution of this suction flow is found to increase as the Galilei number, average suction velocity, and power-law index increase. It is found that the upper most values of the enhancement factors in heat transfer and Froude number are [Formula: see text] folds when the suction power-law index is equal to [Formula: see text]. This work demonstrated that significant heat transfer enhancement inside developing gravity-driven liquid films is attainable when properly distributing the suction velocity along the plate.
Highlights
The transport phenomena associated with liquid falling films along solid surfaces are vital to many engineering applications
Gravity-driven liquid films are widely used in reactors that encounter processes such as sulfonation, chlorination, ethoxylation, and hydrogenation.[4,5]
It is seen from this figure that f 00(j, 0) increases as Vo increases since the velocity boundary layer thickness decreases as Vo increases.[7]
Summary
The transport phenomena associated with liquid falling films (gravity-driven liquid films) along solid surfaces are vital to many engineering applications. Liquid falling films are used in air conditioning applications where that liquid is a salt solution known as liquid desiccant. This salt solution has the capability to absorb moisture from air,[1,2,3] resulting in reducing the environment humidity ratio and improving the coefficient of performance of the refrigerating cycle.[2] human comfort is enhanced and electrical energy consumption is reduced.
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