Abstract
Exploiting the impact of Lorentz force and convective heating boundary on second-grade nanofluid flow alongside a Riga pattern is the main objective of the present work. Modelling of the present work is done through Grinberg term and a Lorentz force applied parallel to the wall of a Riga plate. The nanoparticles fraction on the solid surface of Riga pattern maintained a strong retardation because of zero mass flux. Theories of Cattaneo–Christov heat flux and generalized Fick’s relations are employed by following the modern aspects of heat and mass transportations. In the current study, additional features of thermal radiation are also included in the energy equation in terms of linear expressions. In order to make the analysis more worthy, effect of chemical reaction is also included. By applying the suitable variables, constituted problem is converted into dimensionless form. Solution of the problem with desired accuracy is obtained by utilizing popular method called Runge–Kutta–Fehlberg. The graphical representations are used to illustrate the flow controlling parameters involved by their attractive physical consequences. Velocity distribution is observed for the increase with the second-grade parameter. Further, an improved nanoparticles temperature distribution is observed with the increase in radiation parameter and Biot number. Additionally, the distribution of the concentration of nanoparticles increases with increase in values of the thermophoretic parameter. Based on the scientific calculations obtained, it is established that the reported results may play a useful role in production processes and in the improvement of energy and thermal resources.
Similar content being viewed by others
References
Choi, S.U.S.: Enhancing thermal conductivity of fluids with nanoparticles. Proc. ASME Int. Mech. Eng. Cong Exp. 66, 99–105 (1995)
Beiki, H.: Developing convective mass transfer of nanofluids in fully developed flow regimes in a circular tube: modeling using fuzzy inference system and ANFIS. Int. J. Heat Mass Transf. 173, 121285 (2021)
Buongiorno, J.: Convective transport in nanofluids. J. Heat Transf. 128(3), 240–250 (2006)
Kuznetsov, A.V.; Nield, D.A.: Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci. 49, 243–247 (2010)
Daniel, Y.S.; Aziz, Z.A.; Ismail, Z.; Bahar, A.: Unsteady EMHD dual stratified flow of nanofluid with slips impacts. Alex. Eng. J. 59(1), 177–189 (2020)
Gangadhar, K.; Kannan, T.; Jayalakshmi, P.: Magnetohydrodynamic micropolar nanofluid past a permeable stretching/shrinking sheet with Newtonian heating. J Braz. Soc. Mech. Sci. Eng. 39, 4379–4391 (2017)
Hashimoto, S.; Yano, K.; Hirota, Y.; Uchiyama, H.; Tsutsui, S.: Analysis of enhancement mechanism for thermal conductivity if nanofluids by inelastic X-ray scattering. Int. J. Heat Mass Transf. 173, 121245 (2021)
Kanti, P.K.; Sharma, K.V.; Said, Z.; Gupta, M.: Experimental investigation on thermo-hydraulic performance of water-based fly ash-Cu hybrid nanofluid flow in a pipe at various inlet fluid temperatures. Int. Commun. Heat Mass. 124, 105238 (2021)
Vinoth, R.; Sachuthananthan, B.: Flow and heat transfer behavior of hybrid nanofluid through microchannel with two different channels. Int. Commun. Heat Mas 123, 105194 (2021)
Kanti, P.; Sharma, K.V.; Said, Z.; Kesti, V.: Entropy generation and friction factor of fly ash nanofluids flowing in a horizontal tube: experimental and numerical study. Int. J. Therm. Sci. 166, 106972 (2021)
Saleh, B.; Syam Sundar, L.: Experimental study on heat transfer, friction factor, entropy and exergy efficiency analyses of a corrugated plate heat exchanger using Ni/water nanofluids. Int. J. Therm. Sci. 165, 106935 (2021)
Sáchica, D.; Treviño, C.; Martínez-Suástegui, L.: Numerical study of magnetohydrodynamic mixed convection and entropy generation of Al2O3-water nanofluid in a channel with two facing cavities with discrete heating. Int. J. Heat Fluid Flow 86, 108713 (2020)
Zakaria, I.A.; Mohamed, W.A.N.W.; Zailan, M.B.; Azmi, W.H.: Experimental analysis of SiO2-Distilled water nanofluids in a polymer electrolyte membrane fuel cell parallel channel cooling plate. Int. J. Hydrog. Energy 44(47), 25850–25862 (2019)
Ya Rudyak, V.; Minakov, A.V.; Pryazhnikov, M.I.: Preparation, characterization, and viscosity studding the single-walled carbon nanotube nanofluids. J. Mol. Liq. 329, 115517 (2021)
Shit, S.P.; Pal, S.; Ghosh, N.K.; Sau, K.: Thermophysical properties of graphene and hexagonal boron nitride nanofluids: a comparative study by molecular dynamics. J. Mol. Struct. 1239, 130525 (2021)
Bahiraei, M.; Mazaheri, N.: A comprehensive analysis for second law attributes of spiral heat exchanger operating with nanofluid using two-phase mixture model: exergy destruction minimization attitude. Adv. Powder Technol. 32(1), 211–224 (2021)
Ji, W.; Yang, L.; Chen, Z.; Mao, M.; Huang, J.: Experimental studies and ANN predictions on the thermal properties of TiO2-Ag hybrid nanofluids: consideration of temperature, particle loading, ultrasonication and storage time. Powder Technol. 388, 212–232 (2021)
Tanveer, A.; Malik, M.Y.: Slip and porosity effects on peristalsis of MHD Ree-Eyring nanofluid in curved geometry. Ain Shams Eng. J. 12(1), 955–968 (2021)
Rafiq, M.; Shafique, M.; Azam, A.; Ateeq, M.: Transformer oil-based nanofluid: the application of nanomaterials on thermal, electrical and physicochemical properties of liquid insulation—a review. Ain Shams Eng. J. 12(1), 555–576 (2021)
Rivlin, R.S.; Ericksen, J.L.: Stress deformation relations for isotropic materials. J. Ration Mech. Anal. 4, 323–425 (1955)
Imtiaz, M.; Mabood, F.; Hayat, T.; Alsaedi, A.: Homogeneous-heterogeneous reactions in MHD radiative flow of second grade fluid due to a curved stretching surface. Int. J. Heat Mass Transf. 145, 118781 (2019)
Adeniyan, A.; Mabood, F.; Okoya, S.S.: Effect of heat radiating and generating second-grade mixed convection flow over a vertical slender cylinder with variable physical properties. Int. Commun. Heat Mass 121, 105110 (2021)
Waqas, H.; Khan, S.U.; Hassan, M.; Bhatti, M.M.; Imran, M.: Analysis on the bioconvection flow of modified second-grade nanofluid containing gyrotactic microorganisms and nanoparticles. J. Mol. Liq. 291, 111231 (2019)
Hayat, T.; Aziz, A.; Muhammad, T.; Alsaedi, A.; Mustafa, M.: On magnetohydrodynamic flow of second grade nanofluid over a convectively heated nonlinear stretching surface. Adv. Powder Technol. 27(5), 1992–2004 (2016)
Haq, S.U.; Shah, S.I.A.; Jan, S.U.; Khan, I.: MHD flow of generalized second grade fluid with modified Darcy’s law and exponential heating using fractional Caputo-Fabrizio derivatives. Alex. Eng. J. 60(4), 3845–3854 (2021)
Veera Krishna, M.; Ameer Ahamad, N.; Chamkha, A.J.: Hall and ion slip impacts on unsteady MHD convective rotating flow of heat generating/absorbing second grade fluid. Alex. Eng. J. 60(1), 845–858 (2021)
Mallawi, F.O.M.; Bhuvaneswari, M.; Sivasankaran, S.; Eswaramoorthi, S.: Impact of double: stratification on convective flow of a non-Newtonian liquid in a Riga plate with Cattaneo-Christov double-flux and thermal radiation. Ain Shams Eng. J. 12(1), 969–981 (2021)
Gailitis, A.; Lielausis, O.: On a possibility to reduce the hydrodynamic resistance of a plate in an electrolyte. Appl Magnetohydrodyn. 12, 143–146 (1961)
Avilov, V.V.: Electric and magnetic fields for the Riga plate. Technical Report, FRZ, Rossendorf (1998)
Tsinober, A.B.; Shtern, A.G.: Possibility of increasing the flow stability in a boundary layer by means of crossed electric and magnetic fields. Magnetohydrodynamics 3, 103–105 (1967)
Grinberg, E.: On determination of properties of some potential fields. Appl. Magnetohydrodyn. 12, 147–154 (1961)
Pantokratoras, A.; Magyari, E.: EMHD free-convection boundary-layer flow from a Riga-plate. J. Eng. Math. 64, 303–315 (2009)
Ahmad, A.; Asghar, S.; Afzal, S.: Flow of nanofluid past a Riga plate. J. Magn. Magn. Mater. 402, 44–48 (2016)
Ayub, M.; Abbas, T.; Bhatti, M.M.: Inspiration of slip effects on electromagnetohydrodynamics (EMHD) nanofluid flow through a horizontal Riga plate. Eur. Phys. J. Plus 131, 1–9 (2016)
Ahmad, R.; Mustafa, M.; Turkyilmazoglu, M.: Buoyancy effects on nanofluid flow past a convectively heated vertical Riga plate: a numerical study. Int. J. Heat Mass Transf. 111, 827–835 (2017)
Liu, Y.; Jian, Y.; Tan, W.: Entropy generation of electromagnetohydrodynamic (EMHD) flow in a curved rectangular microchannel. Int. J. Heat Mass Transf. 127, 901–913 (2018)
Zainal, N.A.; Nazar, R.; Naganthran, K.; Pop, I.: Unsteady EMHD stagnation point flow over a stretching/shrinking sheet in a hybrid Al2O3-Cu/H2O nanofluid. Int. Commun. Heat Mass 123, 105205 (2021)
Bilal, M.: Micropolar flow of EMHD nanofluid with nonlinear thermal radiation and slip effects. Alex. Eng. J. 59(2), 965–976 (2020)
Abbas, T.; Ayub, M.; Bhatti, M.M.; Rashidi, M.M.; Ali, M.E.S.: Entropy generation on nanofluid flow through a horizontal Riga plate. Entropy 18, 223 (2016)
Bhatti, M.M.; Abbas, T.; Rashidi, M.M.: Effects of thermal radiation and electromagnetohydrodynamic on viscous nanofluid through a Riga plate. Multidiscip Model Mater Struct. 12(4), 605–618 (2016)
Abbas, T.; Hayat, T.; Ayub, M.; Bhatti, M.M.; Alsaedi, A.: Electromagnetohydrodynamic nanofluid flow past a porous Riga plate containing gyrotactic microorganism. Neural. Comput. Appl. 31, 1905–1913 (2019)
Rasool, G.; Wakif, A.: Numerical spectral examination of EMHD mixed convection flow of second-grade nanofluid towards a vertical Riga plate used an advanced version of the revised Buongiorno’s nanofluid model. J. Therm. Anal. Calorim. 143, 2379–2393 (2021)
Acknowledgements
The authors are highly obliged and thankful to unanimous reviewers for their valuable comments on the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gangadhar, K., Kumari, M.A. & Chamkha, A.J. EMHD Flow of Radiative Second-Grade Nanofluid over a Riga Plate due to Convective Heating: Revised Buongiorno’s Nanofluid Model. Arab J Sci Eng 47, 8093–8103 (2022). https://doi.org/10.1007/s13369-021-06092-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13369-021-06092-7