Inherent irreversibility impacts on thermal boundary layer flow over a mobile plate with convective surface boundary conditions
DOI:
https://doi.org/10.18203/issn.2454-2156.IntJSciRep20190251Keywords:
Boundary layer, Entropy generation, Heat transfer, Thermal radiation, Convective boundary conditionAbstract
Background: The irreversibility impacts on flow and heat transfer processes can be quantified through entropy analysis. It is a significant tool which can be utilized to deduce about the energy losses. The current study investigates the inherent irreversibility impacts during a flow of boundary layer and heat transfer on a mobile plate.
Methods: The flow is examined under thermal radiation and convective heat conditions. The fundamental governing equations of flow and heat phenomenon are transmuted into ordinary differential equations by employing similarity transmutations and shooting technique is utilized in order to solve the resultant equations. The temperature and velocity profiles are acquired to reckon Bejan and entropy generation number. Pertinent results are elucidated graphically for the movement of plate and flow in same and opposite directions.
Results: A decline in temperature profile is noted with rise in values of Pr in both cases when the movement of surface and free stream is in similar and converse directions. A decrease in temperature is observed for both cases with increase in NR while with the rise in Biot number a, the temperature profile also increases. Entropy generation rate near the surface is high in case when surface and free stream are moving in opposite directions as compared to case when they move in same directions.
Conclusions: It is observed that irreversibility impacts are more remarkable when the movement of fluid and plate is in opposite direction. Moreover, irreversibility impacts of heat transfer are prominent in free stream region.
Metrics
References
Blasius H. Grenzschichten in Flüssigkeiten mit kleiner Reibung. Z Math Phys. 1908;56:1-37.
Sakiadis BC. Boundary-layer behavior on continuous solid surfaces, I. The boundary layer equations for two dimensional and axi-symmetric flow. AIChE J. 1961;7:26-8.
Abdelhafez TA. Skin friction and heat transfer on a continuous flat surface moving in a parallelfree stream. Int J Heat Transf. 1985;28(6):1234–7.
Afzal N, Badaruddin A, Elgarvi AA. Momentum and heat transfer on acontinuous flat surface moving in a parallel stream, Int J Heat Mass Transfer. 1993;36:3399-403.
Ishak A, Nazar R, Pop I. The effects of transpiration on the flow and heat transfer over a moving permeable surface in a parallel stream. Chem Eng J. 2009;148:63-7.
Aziz A. A similarity solution for laminar boundary layer over a flat plate with a convective condition, Commun. Nonlinear Sci Numerical Simul. 2009;14:1064-8.
Bataller RC. Radiation effects for the Blasius and Sakiadis flows with a convective surface boundary condition. Appl Math Comput. 2008;206:832–40.
Makinde OD, Olanrewaju PO. Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary. J Fluids Eng. 2010;132:044502-4.
Makinde OD. Similarity solution for natural convection from a moving vertical plate with internal heat generation and a convective boundary condition. Therm Sci. 2011;15:137-43.
Bejan A. A study of entropy generation in fundamental convective heat transfer. J Heat Transf. 1979;101:718-25.
Bejan A. Second-law analysis in heat transfer and thermal design. Adv Heat Transf. 1982;15:1-58.
Odat MQA, Damseh RA, Nimr MAA. Effect of magnetic field on entropy generation due to laminar forced convection past a horizontal flat plate. Entropy. 2004;4:293-303.
Saouli S, Aiboud-Saouli S. Second law analysis of laminar falling liquid film along an inclined heated plate. Int Comm Heat Mass Transf. 2004;31(6):879-86.
Esfahani JA, Jafarian MM. Entropy generation analysis of a flat plate boundary layer with various solution methods. Sci Iranica. 2005;12(2):233-40.
Saouli SA, Saouli S, Settou N, Meza N. Thermodynamic analysis of gravity-driven liquid film along an inclined heated plate with hydromagnetic and viscous dissipation effects, Entropy. 2006;8:188-99.
Makinde OD. Irreversibility analysis for a gravity driven non-Newtonian liquid film along an inclined isothermal plate, Phys Scr. 2006;74:642-5.
Reveillere A, Baytas AC. Minimum entropy generation for laminar boundary layer flow over a permeable plate. Int J Exergy. 2010;7(2):164-77.
Makinde OD. Entropy analysis for MHD boundary layer flow and heat transfer over a flat plate with a convective surface boundary condition. Int J Exergy. 2012;10(2):142-54.
Makinde OD. Second law analysis for variable viscosity hydro magnetic boundary layer flow with thermal radiation and Newtonian heating. Entropy. 2011;13:1446-64.
Butt AS, Munawar S, Ali A, Mehmood A. Entropy generation in the Blasius flow under thermal radiation. Phys Scr. 2012;85:035008.
Ellahi R, Zeeshan A, Hassan M. Shape effects of nano-size particles in Cu-H20 Nano-fluid on entropy generation. Int J Heat Mass Transfer. 2015;81:449–56.
Ellahi R, Hassan M, Zeeshan A, Khan AA. The shape effects of nanoparticles suspended in HFE-7100 over wedge with entropy generation and mixed convection. Appl Nano Sci. 2016;6:641–651.
Mamourian M, Shirvan KM, Ellahi R, Rahimi AB. Optimization of mixed convection heat transfer with entropy generation in a wavy surface square Lid-driven cavity by means of Taguchi approach. Int J Heat Mass Transfer. 2016;102:544–54.
Bhatti MM, Abbas T, Rashidi MM, Ali MES, Yang Z. Entropy generation on MHD Eyring–Powell nanofluid through a permeable stretching surface. Entropy. 2016;18(6):1–14.
Othman MIA, Marin M. Effect of thermal loading due to laser pulse on thermoelastic porous medium under G-N theory. Results Phys. 2017;7:3863–72.
Khan AA, Usman H, Ellahi R, Vafai K. Study of peristaltic flow of magnetohydrodynamic Walter’s B fluid with slip and heat transfer. Scientia Iranica. 2016;23(6):2650–62.
Ellahi R, Shivanian E, Abbasbandy S, Hayat T. Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition. Int J Numer Methods Heat Fluid Flow. 2016;26(5):1433–45.
Rehman SU, Ellahi R, Nadeem S, Zia Q. Simultaneous effects of nanoparticles and slip on Jeffrey fluid through tapered artery with mild stenosis. J Mol Liq. 2016;218:484–93.
Bhatti MM, Abbas T, Rashidi MM. Entropy analysis on titanium magneto-nanoparticles suspended in water-based nanofluid:a numerical study. Comput Therm Sci Int J. 2016;8(5):457–68.
Bhatti MM, Rashidi MM. Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking/stretching sheet. J Mol Liq. 2016;221:567–73.
Esfahani JA, Akbarzadeh M, Rashidi S. Influences of wavy wall and nanoparticles on entropy generation in a plate heat exchanger. Int J Heat Mass Transfer. 2017;109:1162–71.
Ellahi R, Raza M, Akbar NS. Study of peristaltic flow of nano-fluid with entropy generation in a porous medium. J Porous Media. 2017;20 (5):461–78.
Rashidi S, Akar S, Bovand M, Ellahi R. Volume of fluid model to simulate the nano-fluid flow and entropy generation in a single slope solar still. Renewable Energy. 2018;115:400–10.