Abstract
This article investigates entropy production in three-dimensional hydromagnetic rotating flow of nanoliquid with binary chemical mechanism and activation energy impacts. Brownian dispersion and thermophoresis effects are taken into account. Bejan number and entropy production are analyzed through the existence of porous medium, viscous dissipation, magnetic field, thermal radiation and heat source/sink. Velocity slip, convective heat and mass conditions are imposed at the boundary. The nonlinear equations are developed through transformation scheme. Shooting method is utilized to generate the solutions of resulting nonlinear expressions. Salient behaviors of several pertinent variables on velocities, nanoconcentration, entropy production, Bejan number and temperature distributions are examined graphically. Further surface drag forces, heat and mass transfer rates are graphically analyzed via different flow variables. It is observed that heat transfer rate significantly enhances for the higher values of thermal Biot number while an opposite behavior is noted against higher thermophoresis parameter.
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References
Choi SUS. Enhancing thermal conductivity of fluids with nanoparticles. ASME Fluids Eng Div. 1995;66:99–105.
Buongiorno J. Convective transport in nanofluids. ASME J Heat Transf. 2006;128:240–50.
Chamkha AJ, Aly AM, Mansour MA. Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction/injection and chemical reaction effects. Chem Eng Commun. 2010;197:846–58.
Turkyilmazoglu M. Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids. Chem Eng Sci. 2012;84:182–7.
Rashidi MM, Freidoonimehr N, Hosseini A, Bég OA, Hung TK. Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration. Meccanica. 2014;49:469–82.
Hayat T, Aziz A, Muhammad T, Ahmed B. Influence of magnetic field in three dimensional flow of couple stress nanofluid over a nonlinearly stretching surface with convective condition. PLoS ONE. 2015;10:e0145332.
Raju CSK, Sandeep N, Babu MJ, Sugunamma V. Dual solutions for three-dimensional MHD flow of a nanofluid over a nonlinearly permeable stretching sheet. Alex Eng J. 2016;55:151–62.
Hayat T, Aziz A, Muhammad T, Alsaedi A. On magnetohydrodynamic three dimensional flow of nanofluid over a convectively heated nonlinear stretching surface. Int J Heat Mass Transf. 2016;100:566–72.
Nayak MK, Akbar NS, Pandey VS, Khan ZH, Tripathi D. 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation. Powder Technol. 2017;315:205–15.
Hayat T, Aziz A, Muhammad T, Alsaedi A. On model for flow of Burgers nanofluid with Cattaneo–Christov double diffusion. Chin J Phys. 2017;55:916–29.
Mahanthesh B, Gireesha BJ, Gorla RSR, Makinde OD. Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: a numerical study. Neural Comput Appl. 2018;30:1557–67.
Hayat T, Aziz A, Muhammad T, Alsaedi A. An optimal analysis for Darcy-Forchheimer 3D flow of Carreau nanofluid with convectively heated surface. Results Phys. 2018;9:598–608.
Sheikholeslami M. Numerical approach for MHD Al2O3-water nanofluid transportation inside a permeable medium using innovative computer method. Comput Methods Appl Mech Eng. 2019;344:306–18.
Ali A, Shehzadi K, Sulaiman M, Asghar S. Heat and mass transfer analysis of 3D Maxwell nanofluid over an exponentially stretching surface. Phys Scr. 2019;94:065206.
Hayat T, Aziz A, Muhammad T, Alsaedi A. Numerical simulation for Darcy–Forchheimer three-dimensional rotating flow of nanofluid with prescribed heat and mass flux conditions. J Therm Anal Calorim. 2019;136:2087–95.
Gireesha BJ, Gorla RSR, Mahanthesh B. Effect of suspended nanoparticles on three-dimensional MHD flow, heat and mass transfer of radiating Eyring–Powell fluid over a stretching sheet. Nanofluids J. 2015;4:1–11.
Kumar PBS, Gireesha BJ, Mahanthesh B, Chamkha AJ. Thermal analysis of nanofluid flow containing gyrotactic microorganisms in bioconvection and second-order slip with convective condition. J Therm Anal Calorim. 2019;136:1947–57.
Mahanthesh B, Shashikumar NS, Gireesha BJ, Animasaun IL. Effectiveness of Hall current and exponential heat source on unsteady heat transport of dusty TiO2-EO nanoliquid with nonlinear radiative heat. J Comput Des Eng. 2019;6:551–61.
Mahanthesh B, Amala SA, Gireesha BJ, Animasaun IL. Effectiveness of exponential heat source, nanoparticle shape factor and Hall current on mixed convective flow of nanoliquids subject to rotating frame. Multidiscip Model Mater Struct. 2019;15:758–78.
Mahanthesh B, Lorenzini G, Oudina FM, Animasaun IL. Significance of exponential space- and thermal-dependent heat source effects on nanofluid flow due to radially elongated disk with Coriolis and Lorentz forces. J Therm Anal Calorim. 2020;141:37–44.
Gorji MR, Pourmehran O, Hatami M, Ganji DD. Statistical optimization of microchannel heat sink (MCHS) geometry cooled by different nanofuids using RSM analysis. Eur Phys J Plus. 2015;130:1–21.
Pourmehran O, Gorji MR, Hatami M, Sahebi SAR, Domairry G. Numerical optimization of microchannel heat sink (MCHS) performance cooled by KKL based nanofluids in saturated porous medium. J Taiwan Inst Chem Eng. 2015. https://doi.org/10.1016/j.jtice.2015.04.016.
Gorji MR, Pourmehran O, Bandpy MG, Ganji DD. Unsteady squeezing nanofluid simulation and investigation of its effect on important heat transfer parameters in presence of magnetic field. J Taiwan Inst Chem Eng. 2016. https://doi.org/10.1016/j.jtice.2016.08.001.
Sheikholeslami M, Shah Z, Shafee A, Kumam P, Babazadeh H. Lorentz force impact on hybrid nanofluid within a porous tank including entropy generation. Int Commun Heat Mass Transf. 2020;116:104635.
Khan SU, Waqas H, Muhammad T, Imran M, Ullah MZ. Significance of activation energy and Wu’s slip features in cross nanofluid with motile microorganisms. Commun Theor Phys. 2020;72:105001.
Kayalvizhi M, Kalaivanan R, Ganesh NV, Ganga B, Hakeem AKA. Velocity slip effects on heat and mass fluxes of MHD viscous-Ohmic dissipative flow over a stretching sheet with thermal radiation. Ain Shams Eng J. 2016;7:791–7.
Seth GS, Kumar R, Bhattacharyya A. Entropy generation of dissipative flow of carbon nanotubes in rotating frame with Darcy–Forchheimer porous medium: a numerical study. J Mol Liq. 2018;268:637–46.
Amanulla Ch, Wakif A, Boulahia Z, Reddy MS, Nagendra N. Numerical investigations on magnetic field modeling for Carreau non-Newtonian fluid flow past an isothermal sphere. J Braz Soc Mech Sci Eng. 2018;40:462.
Wakif A, Boulahia Z, Ali F, Eid MR, Sehaqui R. Numerical analysis of the unsteady natural convection MHD couette nanofluid flow in the presence of thermal radiation using single and two-phase nanofluid models for Cu-water nanofluids. Int J Appl Comput Math. 2018;4:81.
Animasaun IL, Ibraheem RO, Mahanthesh B, Babatunde HA. A meta-analysis on the effects of haphazard motion of tiny/nano-sized particles on the dynamics and other physical properties of some fluids. Chin J Phys. 2019;60:676–87.
Wakif A, Qasim M, Afridi MI, Saleem S, Al-Qarni MM. Numerical examination of the entropic energy harvesting in a magnetohydrodynamic dissipative flow of Stokes’ second problem: utilization of the gear-generalized differential quadrature method. J Non Equilib Thermodyn. 2019;44:385–403.
Qasim M, Ali Z, Wakif A, Boulahia Z. Numerical simulation of MHD peristaltic flow with variable electrical conductivity and Joule dissipation using generalized differential quadrature method. Commun Theor Phys. 2019;71:509.
Qasim M, Afridi MI, Wakif A, Thoi TN, Hussanan A. Second law analysis of unsteady MHD viscous flow over a horizontal stretching sheet heated non-uniformly in the presence of ohmic heating: utilization of gear-generalized differential quadrature method. Entropy. 2019;21:240.
Qasim M, Afridi MI, Wakif A, Saleem S. Influence of variable transport properties on nonlinear radioactive Jeffrey fluid flow over a disk: utilization of generalized differential quadrature method. Arab J Sci Eng. 2019;44:5987–96.
Wakif A, Animasaun IL, Narayana PVS, Sarojamma G. Meta-analysis on thermo-migration of tiny/nano-sized particles in the motion of various fluids. Chin J Phys. 2020;68:293–307.
Ahmed B, Hayat T, Alsaedi A, Abbasi FM. Entropy generation in peristalsis with iron oxide. J Therm Anal Calorim. 2020;140:789–97.
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. Energy. 1980;5:720–32.
Noghrehabadi A, Saffarian MR, Pourrajab R, Ghalambaz M. Entropy analysis for nanofluid flow over a stretching sheet in the presence of heat generation/absorption and partial slip. J Mech Sci Technol. 2013;27:927–37.
Rehman S, Haq RU, Khan ZH, Lee C. Entropy generation analysis for non-Newtonian nanofluid with zero normal flux of nanoparticles at the stretching surface. J Taiwan Inst Chem Eng. 2016;63:226–35.
Bhatti MM, Abbas T, Rashidi MM. Entropy generation as a practical tool of optimisation for non-Newtonian nanofluid flow through a permeable stretching surface using SLM. J Comput Des Eng. 2017;4:21–8.
Sithole H, Mondal H, Sibanda P. Entropy generation in a second grade magnetohydrodynamic nanofluid flow over a convectively heated stretching sheet with nonlinear thermal radiation and viscous dissipation. Results Phys. 2018;9:1077–85.
Alharbi S, Dawar A, Shah Z, Khan W, Idrees M, Islam S, Khan I. Entropy generation in MHD Eyring–Powell fluid flow over an unsteady oscillatory porous stretching surface under the impact of thermal radiation and heat source/sink. Appl Sci. 2018;8:2588.
Seyyedi SM, Dogonchi AS, Tilehnoee MH, Asghar Z, Waqas M, Ganji DD. A computational framework for natural convective hydromagnetic flow via inclined cavity: an analysis subjected to entropy generation. J Mol Liq. 2019;287:110863.
Rashid M, Khan MI, Hayat T, Khan MI, Alsaedi A. Entropy generation in flow of ferromagnetic liquid with nonlinear radiation and slip condition. J Mol Liq. 2019;276:441–52.
Hayat T, Riaz R, Aziz A, Alsaedi A. Analysis of entropy generation for MHD flow of third grade nanofluid over a nonlinear stretching surface embedded in a porous medium. Phys Scr. 2019;94:125703.
Bestman AR. Natural convection boundary layer with suction and mass transfer in a porous medium. Int J Energy Res. 1990;14:389–96.
Makinde OD, Olanrewaju PO. Unsteady mixed convection with Soret and Dufour effects past a porous plate moving through a binary mixture of chemically reacting fluid. Chem Eng Commun. 2011;198:920–38.
Maleque KA. Effects of exothermic/endothermic chemical reactions with Arrhenius activation energy on MHD free convection and mass transfer flow in presence of thermal radiation. J Thermodyn. 2013;2013:692516.
Lu D, Ramzan M, Ahmad S, Chung JD, Farooq U. Upshot of binary chemical reaction and activation energy on carbon nanotubes with Cattaneo–Christov heat flux and buoyancy effects. Phys Fluids. 2017;29:123103.
Zaib A, Rashidi MM, Chamkha AJ, Bhattacharyya K. Numerical solution of second law analysis for MHD Casson nanofluid past a wedge with activation energy and binary chemical reaction. Int J Numer Methods Heat Fluid Flow. 2017;27:2816–34.
Anuradha S, Sasikala K. MHD free convective flow of a nanofluid over a permeable shrinking sheet with binary chemical reaction and activation energy. Int J Eng Sci Invent. 2018;7:22–30.
Ramesh GK, Shehzad SA, Hayat T, Alsaedi A. Activation energy and chemical reaction in Maxwell magneto-nanoliquid with passive control of nanoparticle volume fraction. J Braz Soc Mech Sci Eng. 2018;40:422.
Hayat T, Aziz A, Muhammad T, Alsaedi A. Effects of binary chemical reaction and Arrhenius activation energy in Darcy–Forchheimer three-dimensional flow of nanofluid subject to rotating frame. J Therm Anal Calorim. 2019;136:1769–79.
Reddy SRR, Reddy PBA, Bhattacharyya K. Effect of nonlinear thermal radiation on 3D magneto slip flow of Eyring–Powell nanofluid flow over a slendering sheet with binary chemical reaction and Arrhenius activation energy. Adv Power Technol. 2019;30:3203–13.
Ahmad S, Farooq M, Mir NA, Anjum A, Javed M. Magnetohydrodynamic flow of squeezed fluid with binary chemical reaction and activation energy. J Cent South Univ. 2019;26:1362–73.
Wang CY. Stretching a surface in a rotating fluid. Z Angew Math Phys. 1988;39:177–85.
Javed T, Abbas Z, Sajid M, Ali N. Non-similar solution for rotating flow over an exponentially stretching surface. Int J Numer Methods Heat Fluid Flow. 2011;21:903–8.
Mushtaq A, Mustafa M, Hayat T, Alsaedi A. Numerical study for rotating flow of nanofluids caused by an exponentially stretching sheet. Adv Powder Technol. 2016;27:2223–31.
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Hayat, T., Aziz, A. & Alsaedi, A. Analysis of entropy production and activation energy in hydromagnetic rotating flow of nanoliquid with velocity slip and convective conditions. J Therm Anal Calorim 146, 2561–2576 (2021). https://doi.org/10.1007/s10973-020-10505-4
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DOI: https://doi.org/10.1007/s10973-020-10505-4