Thermodynamic Optimization of Flow Over an Isothermal Moving Plate

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Boundary layers are thin regions next to the wall in the flow where viscous forces are important. The above-mentioned wall can be in various geometrical shapes. Blasius [1] studied the simplest boundary layer over a flat plate. He employed a similarity transformation which reduces the partial differential boundary layer equations to a nonlinear third-order ordinary differential one before solving it analytically. The boundary layer flow over a moving plate in a viscous fluid has been considered by Klemp and Acrivos [2], Hussaini et al. [3], Fang and Zhang [4] and recently Ishak et al. [5] and Cortell[6] which is an extension of the flow over a static plate considered by Blasius. A large amount of literatures on this problem has been cited in the books by Schlichting and Gersten [7] and White [8]. It is worth mentioning that the flow and heat transfer of a viscous fluid over a moving surface has many important applications in the modern industry, glass fiber drawing, crystal growing, plastic extrusion, etc.[9]

Beside boundary layer, entropy plays an essential role in our understanding of many diverse phenomena in many fields [10-12] especially in equilibrium and nonequilibrium thermodynamics [13, 14] and optimization of energy consumption in systems dealing with large amount of energy. The design methods based on the Second law of thermodynamic are widely used to measure the irreversibility of processes. Conserving useful energy depends on how to design an efficient heat transfer process from thermodynamic point of view. Energy conversion processes are accompanied by an irreversible increase in entropy, which leads to a decrease in exergy. Thus, even though energy is conserved, the quality of the energy decreases by converting it...

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...odynamics, 3rd edition, Cambridge University Press, 1983.

[14] W.T. Grandy, Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press, 2008.

[15] A. Bejan, Entropy generation through heat and fluid flow. New York, Wiley, 1982.

[16] E.Amani, M.R.H. Nobari, a numerical investigation of entropy generation in the entrance region of curved pipes at constant wall temperature, Energy 36(2011) 4909-4918.

[17] A. Bejan, Entropy generation minimization, CRC Press, Boca Raton, Florida, 1996.

[18] A.Z. Sahina, S. M. Zubaira, A.Z. Al-Garnia, R. Kahraman. Effect of fouling on operational cost in pipe flow due to entropy generation. Energy Convers Manage 41 (2000)1485-1496.

[19] A. Tandiroglu. Effect of flow geometry parameters on transient entropy generation for turbulent flow in circular tube with baffle inserts. Energy Convers Manage 48 (2007)898-906.

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