Numerical simulation for peristaltic transport of radiative and dissipative MHD Prandtl nanofluid through the vertical asymmetric channel in the presence of double diffusion convection

References

• T. W. Latham, “Fluid motion in peristaltic pump,” M. S. Thesis, MIT, Cambridge, MA, 1966.
   Google Scholar
• T. Hayat, N. Ali, and S. Asgher, “Hall effects on peristaltic flow of a Maxwell fluid in a porous medium,” Phys. Letts. A., vol. 363, no. 5–6, pp. 397–403, 2007. DOI: 10.1016/j.physleta.2006.10.104.
   Web of Science ®Google Scholar
• T. Hayat and N. Ali, “A mathematical description of peristaltic hydromagnetic flow in a tube,” Appl. Math. Comput., vol. 188, no. 2, pp. 1491–1502, 2007. DOI: 10.1016/j.amc.2006.11.035.
   Web of Science ®Google Scholar
• Y. Wang, T. Hayat, and K. Huttler, “Peristaltic flow of a Johnson Segalman fluid through a deformable tube,” Theor. Comput. Fluid Dyn., vol. 21, no. 5, pp. 369–380, 2007. DOI: 10.1007/s00162-007-0054-1.
   Web of Science ®Google Scholar
• N. Ali, T. Hayat, and M. Sajid, “Peristaltic flow of a couple stress fluid in an asymmetric channel,” Biorheol., vol. 44, pp. 125–138, 2007.
   PubMed Web of Science ®Google Scholar
• S. Srinivas and M. Kothandapni, “Peristaltic transport in an asymmetric channel with heat transfer – A note,” Int. Commu. Heat Mass Trans., vol. 35, no. 4, pp. 514–522, 2008. DOI: 10.1016/j.icheatmasstransfer.2007.08.011.
   Web of Science ®Google Scholar
• D. Tripathi, S. K. Pandey, and S. Das, “Peristaltic flow of viscoelastic fluid with fractional Maxwell model through a channel,” Appl. Math. Comput., vol. 215, no. 10, pp. 3645–3654, 2010. DOI: 10.1016/j.amc.2009.11.002.
   Web of Science ®Google Scholar
• F. M. Abbasi, T. Hayat, F. Alsaadi, A. M. Dobai, and H. Gao, “MHD peristaltic transport of spherical and cylindrical magneto-nanoparticles suspended in water,” AIP Adv., vol. 5, no. 7, pp. 077104, 2015. DOI: 10.1063/1.4926368.
   Web of Science ®Google Scholar
• S. Akram, M. Athar, and K. Saeed, “Hybrid impact of thermal and concentration convection on peristaltic pumping of Prandtl nanofluids in non-uniform inclined channel and magnetic field,” Case Stud. Therm. Eng., vol. 25, pp. 100965, 2021. DOI: 10.1016/j.csite.2021.100965.
   Web of Science ®Google Scholar
• T. Hayat, H. Zahir, A. Tanveer, and A. Alsaedi, “Influences of Hall current and chemical reaction in mixed convective peristaltic flow of Prandtl fluid,” J. Magnet. Magn. Mater., vol. 407, pp. 321–327, 2016. DOI: 10.1016/j.jmmm.2016.02.020.
   Web of Science ®Google Scholar
• A. Riaz, S. Nadeem, R. Ellahi, and N. S. Akbar, “The influence of wall flexibility on unsteady peristaltic flow of Prandtl fluid in a three-dimensional rectangular duct,” Appl. Math. Comput., vol. 241, pp. 389–400, 2014. DOI: 10.1016/j.amc.2014.04.046.
   Web of Science ®Google Scholar
• A. Abd-Alla, S. Abo-Dahab, and R. Al-Simery, “Effect of rotation on peristaltic flow of a micropolar fluid through a porous medium with an external magnetic field,” J. Magn. Mag. Mater., vol. 348, pp. 33–43, 2013. DOI: 10.1016/j.jmmm.2013.06.030.
   Web of Science ®Google Scholar
• A. Abd-Alla and S. Abo-Dahab, “Magnetic field and rotation effects on peristaltic transport of a Jeffrey fluid in an asymmetric channel,” J. Magn. Mag. Mater., vol. 374, pp. 680–689, 2015. DOI: 10.1016/j.jmmm.2014.08.091.
   Web of Science ®Google Scholar
• N. Ali, M. Sajid, T. Javed, and Z. Abbas, “Peristalsis in a rotating fluid,” Sci. Essays, vol. 7, no. 32, pp. 2891–2897, 2012.
   Google Scholar
• S. R. Mahmoud, “Effect of rotation and magnetic field through porous medium on peristaltic transport of a Jeffrey fluid in tube,” Math. Prob. Eng., vol. 2011, pp. 1–13, 2011. DOI: 10.1155/2011/971456.
   Web of Science ®Google Scholar
• T. Hayat, M. Rafiq, and B. Ahmad, “Soret and Dufour effects on MHD peristaltic flow of Jeffrey fluid in a rotating system with porous medium,” Plos One, vol. 11, no. 1, pp. e0145525, 2016. DOI: 10.1371/journal.pone.0145525.
   PubMed Web of Science ®Google Scholar
• S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticles,” ASME Fluids Eng. Div., vol. 231, pp. 99–105, 1995.
   Google Scholar
• N. Asokan, P. Gunnasegaran, and V. V. Wanatasanappan, ““Experimental investigation on the thermal performance of compact heat exchanger and the rheological properties of low concentration mono and hybrid nanofluids containing Al2O3 and CuO nanoparticles” Therm. Sci. Eng. Prog., vol. 20, pp. 100727, 2020. DOI: 10.1016/j.tsep.2020.100727.
   Google Scholar
• Y. Jiang, X. Zhou, and Y. Wang, “Effect of nanoparticle shapes on nanofluid mixed forced and thermocapillary convection in minichannel,” Int. Commun. Heat Mass Transf., vol. 118, pp. 104884, 2020. DOI: 10.1016/j.icheatmasstransfer.2020.104884.
   Web of Science ®Google Scholar
• H. Saadati, K. Hadad, and A. Rabiee, “Safety margin and fuel cycle period enhancements of VVER-1000 nuclear reactor using water/silver nanofluid,” Nucl. Eng. Technol., vol. 50, no. 5, pp. 639–647, 2018. DOI: 10.1016/j.net.2018.01.015.
   Web of Science ®Google Scholar
• J. Buongiorno, “Convective transport in nanofluids,” ASME J. Heat Transf., vol. 128, no. 3, pp. 240–250, 2006. DOI: 10.1115/1.2150834.
   Web of Science ®Google Scholar
• S. E. Ahmed, A. A. Arafa, and S. A. Hussein, “Arrhenius activated energy impacts on irreversibility optimization due to unsteady stagnation point flow of radiative Casson nanofluids,” Eur. Phys. J. Plus., vol. 137, no. 11, pp. 1–14, 2022. DOI: 10.1140/epjp/s13360-022-03434-8.
   PubMed Web of Science ®Google Scholar
• S. E. Ahmed, A. A. Arafa, S. A. Hussein, and Z. A. S. Raizah, “Novel treatments for the bioconvective radiative Ellis nanofluids wedge flow with viscous dissipation and an activation energy,” Case Stud. Therm. Eng., vol. 40, pp. 102510, 2022. DOI: 10.1016/j.csite.2022.102510.
   Web of Science ®Google Scholar
• S. A. Hussein, S. E. Ahmed, and A. A. Arafa, “Numerical treatment of thermal and concentration convection along with induced magnetic field on peristaltic pumping of a magnetic six-constant Jeffrey nanofluid through a vertical divergent channel,” Numer. Heat Transf. A: Appl., 2023. DOI: 10.1080/10407782.2023.2165580.
   Web of Science ®Google Scholar
• D. Tripathi, J. Prakash, A. K. Tiwari, and R. Ellahi, “Thermal, microrotation, electromagnetic field and nanoparticle shape effects on cu-CuO/blood flow in microvascular vessels,” Microvasc. Res., vol. 132, pp. 104065, 2020. DOI: 10.1016/j.mvr.2020.104065.
   PubMed Web of Science ®Google Scholar
• S. E. Ahmed, A. A. M. Arafa, and S. A. Hussein, “A novel model of non-linear radiative Williamson nanofluid flow along a vertical wavy cone in the presence of gyrotactic microorganisms,” Int. J. Model. Simul., 2023. DOI: 10.1080/02286203.2023.2180023.
   Google Scholar
• A. A. M. Arafa, Z. Z. Rashed, and S. E. Ahmed, “Radiative MHD bioconvective nanofluid flow due to gyrotactic microorganisms using Atangana-Baleanu Caputo fractional derivative,” Phys. Scr., vol. 96, no. 5, pp. 055211, 2021. DOI: 10.1088/1402-4896/abe82d.
   Web of Science ®Google Scholar
• S. E. Ahmed, Z. Raizah, A. A. Arafa, and S. A. Hussein, “FEM treatments for MHD highly mixed convection flow within partially heated double-lid driven odd-shaped enclosures using ternary composition nanofluids,” Int. Commun. Heat Mass Transf., vol. 145, pp. 106854, 2023. DOI: 10.1016/j.icheatmasstransfer.2023.106854.
   Web of Science ®Google Scholar
• A. A. M. Arafa, S. E. Ahmed, and M. M. Allan, “Peristaltic flow of non-homogeneous nanofluids through variable porosity and heat generating porous media with viscous dissipation: entropy analyses,” Case Stud. Therm. Eng., vol. 32, pp. 101882, 2022. DOI: 10.1016/j.csite.2022.101882.
   Web of Science ®Google Scholar
• A. A. Arafa, Z. Rashed, and S. E. Ahmed, “Radiative flow of non-Newtonian nanofluids within inclined porous enclosures with time fractional derivative,” Sci. Rep., vol. 11, no. 1, pp. 5338, 2021. DOI: 10.1038/s41598-021-84848-9.
   PubMed Web of Science ®Google Scholar
• S. E. Ahmed, A. A. Arafa, and S. A. Hussein, “Dissipated-radiative compressible flow of nanofluids over unsmoothed inclined surfaces with variable properties,” Numer. Heat Transf. A: Applicat., vol. 84, no. 5, pp. 507-528, pp. 1–22, 2022. DOI: 10.1080/10407782.2022.2141389.
   Web of Science ®Google Scholar
• S. E. Ahmed, A. A. Arafa, and S. A. Hussein, “MHD Ellis nanofluids flow around rotating cone in the presence of motile oxytactic microorganisms,” Int. Commun. Heat Mass Transf., vol. 134, pp. 106056, 2022. DOI: 10.1016/j.icheatmasstransfer.2022.106056.
   Web of Science ®Google Scholar
• S. A. Hussein, S. E. Ahmed, and A. A. Arafa, “Electrokinetic peristaltic bioconvective Jeffrey nanofluid flow with activation energy for binary chemical reaction, radiation and variable fluid properties,” ZAMM‐J. Appl. Math. Mech./Zeitschrift Für Angewandte Mathematik Und Mechanik, vol. 103, no. 1, pp. e202200284, 2022. DOI: 10.1002/zamm.202200284.
   Web of Science ®Google Scholar
• S. A. Hussein and N. T. Eldabe, “Peristaltic pumping of boron nitride-ethylene glycol nanofluid through a complex wavy micro-channel under the effect of induced magnetic field and double diffusive,” Sci. Rep., vol. 13, no. 1, pp. 2622, 2023. DOI: 10.1038/s41598-023-29301-9.
   PubMed Web of Science ®Google Scholar
• S. E. Ahmed and A. A. Arafa, “Impacts of the fractional derivatives on unsteady magnetohydrodynamics radiative Casson nanofluid flow combined with joule heating,” Phys. Scr., vol. 95, no. 9, pp. 095206, 2020. DOI: 10.1088/1402-4896/abab37.
   Web of Science ®Google Scholar
• J. Akram, N. S. Akbar, M. Alansari, and D. Tripathi, “Electroosmotically modulated peristaltic propulsion of tio2/10w40 nanofluid in curved microchannel,” Int. Commun. Heat Mass Transf., vol. 136, pp. 106208, 2022. DOI: 10.1016/j.icheatmasstransfer.2022.106208.
   Web of Science ®Google Scholar
• E. Maraj, I. Zehra, and N. Sher Akbar, “Rotatory flow of MHD (mos2-sio2)/h2o hybrid nanofluid in a vertical channel owing to velocity slip and thermal periodic conditions,” Colloids Surf. A: Physicochem. Eng. Aspects, vol. 639, pp. 128383, 2022. DOI: 10.1016/j.colsurfa.2022.128383.
   Web of Science ®Google Scholar
• J. Akram and N. S. Akbar, “Mathematical modeling of aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe,” Math. Model. Nat. Phenom., vol. 17, pp. 19, 2022. DOI: 10.1051/mmnp/2022012.
   Web of Science ®Google Scholar
• N. S. Akbar, E. Maraj, N. Noor, and M. B. Habib, “Exact solutions of an unsteady thermal conductive pressure driven peristaltic transport with temperature-dependent nanofluid viscosity,” Case Stud. Therm. Eng., vol. 35, pp. 102124, 2022. DOI: 10.1016/j.csite.2022.102124.
   Web of Science ®Google Scholar
• M. B. Habib and N. S. Akbar, “New trends of nanofluids to combat staphylococcus aureus in clinical isolates,” J. Therm. Anal. Calorim., vol. 143, no. 3, pp. 1893–1899, 2021. DOI: 10.1007/s10973-020-09502-4.
   Web of Science ®Google Scholar
• J. Akram, N. S. Akbar, and D. Tripathi, “Electroosmosis augmented MHD peristaltic transport of SWCNTs suspension in aqueous media,” J. Therm. Anal. Calorim., vol. 147, no. 3, pp. 2509–2526, 2022. DOI: 10.1007/s10973-021-10562-3.
   Web of Science ®Google Scholar
• N. S. Akbar, A. Al-Zubaidi, S. Saleem, and S. A. Alsallami, “Variable fluid properties analysis for thermally laminated 3-dimensional magnetohydrodynamic non-Newtonian nanofluid over a stretching sheet,” Sci. Rep., vol. 13, no. 1, pp. 3231, 2023. DOI: 10.1038/s41598-023-30233-7.
   PubMed Web of Science ®Google Scholar
• M. Nasir, M. Waqas, O. A. Bég, S. Znaidia, W. Khan and N. Zamri, “Functional magnetic Maxwell viscoelastic nanofluids for tribological coatings-a model for stretching flow using the generalized theory of heat-mass fluxes, Darcy-Forchheimer formulation and dual convection,” Tribology Int., vol. 187, pp. 108610, 2023. DOI: 10.1016/j.triboint.2023.108610.
   Web of Science ®Google Scholar
• M. Nasir, M. Waqas, O. A. Bég, and N. Zamri, “Homotopy analysis of mixed convection flow of a magnetized viscoelastic nanofluid from a stretching surface in non-Darcy porous media with revised Fourier and Fickian approaches,” Waves Random Complex Media, 2023. DOI: 10.1080/17455030.2023.2178824.
   Google Scholar
• M. Nasir, M. Waqas, N. Zamri, N. B. Khedher, and K. Guedri, “Diffusion of dual diffusive chemically reactive Casson nanofluid under Darcy–Forchheimer porosity and robin conditions from a vertical convective surface: A comparative analysis using ham and collocation procedures,” Comp. Part. Mech., 2023. DOI: 10.1007/s40571-022-00547-w.
   Web of Science ®Google Scholar
• M. Nasir, et al., “Analysis of nonlinear convection–radiation in chemically reactive oldroyd-b nanoliquid configured by a stretching surface with robin conditions: Applications in nano-coating manufacturing,” Micromach., vol. 13, no. 12, pp. 2196, 2022. DOI: 10.3390/mi13122196.
   PubMed Web of Science ®Google Scholar
• F. Wang, M. Waqas, W. Khan, B. M. Makhdoum, and S. M. Eldin, “Cattaneo–Christov heat-mass transfer rheology in third grade nanoliquid flow confined by stretchable surface subjected to mixed convection,” Comp. Part. Mech., 2023. DOI: 10.1007/s40571-023-00579-w.
   Web of Science ®Google Scholar
• M. Tabrez, W. A. Khan, T. Muhammad, I. Hussain, and M. Waqas, “Significance of thermo-dynamical moment of ferromagnetic nanoparticles and bioconvection analysis for magnetized Carreau fluid under the influence of gyrotactic moment of microorganisms,” Tribol. Int., vol. 186, pp. 108633, 2023. DOI: 10.1016/j.triboint.2023.108633.
   Web of Science ®Google Scholar
• Z. Hussain, W. A. Khan, T. Muhammad, H. A. Alghamdi, M. Ali, and M. Waqas, “Dynamics of gyrotactic microorganisms for chemically reactive magnetized 3d sutterby nanofluid fluid flow comprising non-uniform heat sink-source aspects,” J. Magnet. Magnet. Mater., vol. 578, pp. 170798, 2023. DOI: 10.1016/j.jmmm.2023.170798.
   Web of Science ®Google Scholar
• A. A. Pasha, K. Irshad, S. Algarni, T. Alqahtani, and M. Waqas, “Analysis of tangent-hyperbolic rheological model considering nonlinear mixed convection, joule heating and soret-dufour aspects from a stretchable convective stratified surface,” Int. Commun. Heat Mass Transf., vol. 140, pp. 106519, 2023. DOI: 10.1016/j.icheatmasstransfer.2022.106519.
   Web of Science ®Google Scholar
• N. Anjum, W. Khan, M. Azam, M. Ali, M. Waqas, and I. Hussain, “Significance of bioconvection analysis for thermally stratified 3d cross nanofluid flow with gyrotactic microorganisms and activation energy aspects,” Thermal Sci. Eng. Progress., vol. 38, pp. 101596, 2023. DOI: 10.1016/j.tsep.2022.101596.
   Google Scholar
• A. A. Pasha, et al., “Impact of magnetized non-linear radiative flow on 3d chemically reactive sutterby nanofluid capturing heat sink/source aspects,” Case Stud. Therm. Eng., vol. 41, pp. 102610, 2023. DOI: 10.1016/j.csite.2022.102610.
   Web of Science ®Google Scholar
• N. Anjum, W. Khan, M. Ali, I. Hussain, M. Waqas, and M. Irfan, “Thermal performance analysis of sutterby nanoliquid subject to melting heat transportation,” Int. J. Mod. Phys. B., vol. 37, no. 19, pp. 2350185, 2023. DOI: 10.1142/S0217979223501850.
   Web of Science ®Google Scholar
• A. Ahmad, N. Anjum, H. Shahid, M. Irfan, M. Waqas, and W. Khan, “Impact of Darcy–Forchheimer–Brinkman model on generalized eyring–powell liquid subject to Cattaneo–Christov double diffusion aspects,” Int. J. Mod. Phys. B., vol. 37, no. 18, pp. 2350173, 2023. DOI: 10.1142/S0217979223501734.
   Web of Science ®Google Scholar
• M. Waqas, “Simulation of revised nanofluid model in the stagnation region of cross fluid by expanding-contracting cylinder,” HFF, vol. 30, no. 4, pp. 2193–2205, 2020. DOI: 10.1108/HFF-12-2018-0797.
   Web of Science ®Google Scholar
• K. Hosseinzadeh, M. Mardani, S. Salehi, M. Paikar, M. Waqas, and D. Ganji, “Entropy generation of three-dimensional Bödewadt flow of water and hexanol base fluid suspended by Fe3 O4 and MoS2 hybrid nanoparticles,” Pramana – J. Phys., vol. 95, no. 2, pp. 1–14, 2021. DOI: 10.1007/s12043-020-02075-9.
   Web of Science ®Google Scholar
• W. A. Khan, M. Waqas, W. Chammam, Z. Asghar, U. A. Nisar, and S. Z. Abbas, “Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation,” Comput. Methods Program. Biomed., vol. 191, pp. 105396, 2020. DOI: 10.1016/j.cmpb.2020.105396.
   PubMed Web of Science ®Google Scholar
• J. O. Hirshfelder, C. F. Curtiss, and R. B. Bird, Molecular theory of gases and liquids. New York: Wiley, 1954.
   Google Scholar
• W. A. Khan and A. Aziz, “Double-diffusive natural convective boundary layer flow in a porous medium saturated with a nanofluid over a vertical plate: prescribed surface heat, solute and nanoparticle fluxes,” Int. J. Therm. Sci., vol. 50, no. 11, pp. 2154–2160, 2011. DOI: 10.1016/j.ijthermalsci.2011.05.022.
   Web of Science ®Google Scholar
• F. G. Awad, P. Sibanda, and A. A. Khidir, “Thermo diffusion effects on magneto-nanofluid flow over a stretching sheet,” Bound, Value Prob., vol. 2013, pp. 136, 2013.
   Google Scholar
• O. A. Bég and D. Tripathi, “Mathematica simulation of peristaltic pumping with double-diffusive convection in nanofluids a bio nanoengineering model,” Proc. Inst. Mech. Eng. Part N J. Nanoeng. Nanosyst, vol. 225, no. 3, pp. 99–114, 2011. DOI: 10.1177/1740349912437087.
   Google Scholar
• H. Alolaiyan, A. Riaz, A. Razaq, N. Saleem, A. Zeeshan, and M. M. Bhatti, “Effects of double diffusion convection on third grade nanofluid through a curved compliant peristaltic channel,” Coatings, vol. 10, no. 2, pp. 154, 2020. DOI: 10.3390/coatings10020154.
   Web of Science ®Google Scholar
• S. Akram and Q. Afzal, “Effects of thermal and concentration convection and induced magnetic field on peristaltic flow of Williamson nanofluid in inclined uniform channel,” Eur. Phys. J. Plus, vol. 135, no. 10, pp. 857, 2020. DOI: 10.1140/epjp/s13360-020-00869-9.
   Web of Science ®Google Scholar
• N. Saleem, S. Munawar, and D. Tripathi, “Thermal analysis of double diffusive electrokinetic thermally radiated TiO2-Ag/blood stream triggered by synthetic cilia under buoyancy forces and activation energy,” Phys. Scr., vol. 96, no. 9, pp. 095218, 2021. DOI: 10.1088/1402-4896/ac0988.
   Web of Science ®Google Scholar
• N. Saleem and S. Munawar, “Significance of synthetic cilia and Arrhenius energy on double diffusive stream of radiated hybrid nanofluid in microfluidic pump under ohmic heating: An entropic analysis,” Coatings, vol. 11, no. 11, pp. 1292, 2021. DOI: 10.3390/coatings11111292.
   Web of Science ®Google Scholar
• S. Akram, Q. Afzal, and E. H. Aly, “Half-breed effects of thermal and concentration convection of peristaltic pseudoplastic nanofluid in a tapered channel with induced magnetic field,” Case Stud. Therm. Eng., vol. 22, pp. 100775, 2020. DOI: 10.1016/j.csite.2020.100775.
   Web of Science ®Google Scholar
• T. Sakai, G. Adachi, J. Shiokawa, and T. Shin-Ike, “Electrical conductivity of Ln VO 3 compounds,” Mater. Res. Bulletin, vol. 11, no. 10, pp. 1295–1299, 1976. DOI: 10.1016/0025-5408(76)90034-9.
   Web of Science ®Google Scholar
• P. G. Kumar, et al., “Effects of ultasonication and surfactant on the thermal and electrical conductivity of water–solar glycol mixture based Al2O3 nanofluids for solar-thermal applications,” Sustain. Energy Tech. Assess., vol. 47, pp. 101371, 2021. DOI: 10.1016/j.seta.2021.101371.
   Web of Science ®Google Scholar
• T. P. Iglesias and J. C. R. Reis, “On the definition of excess electrical conductivity,” J. Molecular Liq., vol. 344, pp. 117764, 2021. DOI: 10.1016/j.molliq.2021.117764.
   Web of Science ®Google Scholar
• A. Shimojuku, T. Yoshino, D. Yamazaki, and T. Okudaira, “Electrical conductivity of fluid-bearing quartzite under lower crustal conditions,” Phys. Earth Planetary Inter., vol. 198–199, pp. 1–8, 2012. DOI: 10.1016/j.pepi.2012.03.007.
   Web of Science ®Google Scholar
• B. Reynard, K. Mibe, and B. Moortele, “Electrical conductivity of the serpentinised mantle and fluid flow in subduction zones,” Earth Planetary Sci. Lett., vol. 307, no. 3–4, pp. 387–394, 2011. DOI: 10.1016/j.epsl.2011.05.013.
   Web of Science ®Google Scholar
• M. Chang, A. Ruo, F. Chen, and S. Chang, “The effect of Joule-heating-induced buoyancy on the electrohydrodynamic instability in a fluid layer with electrical conductivity gradient,” Int. J. Heat Mass Transf., vol. 54, no. 17–18, pp. 3837–3845, 2011. DOI: 10.1016/j.ijheatmasstransfer.2011.04.045.
   Web of Science ®Google Scholar
• A. M. Obalalu, O. A. Ajala, A. Abdulraheem, and A. O. Akindele, “The influence of variable electrical conductivity on non-Darcian Casson nanofluid flow with first and second-order slip conditions,” Partial Differ. Eqs. Appl. Math., vol. 4, pp. 100084, 2021. DOI: 10.1016/j.padiff.2021.100084.
   Google Scholar
• M. Qasim, Z. Ali, A. Wakif, and Z. Boulahia, “Numerical simulation of MHD peristaltic flow with variable electrical conductivity and joule dissipation using generalized differential quadrature method,” Commun. Theor. Phys., vol. 71, no. 5, pp. 509–518, 2019. DOI: 10.1088/0253-6102/71/5/509.
   Web of Science ®Google Scholar
• W. Ibrahim and D. Gamachu, “Nonlinear convection flow of Williamson nanofluid past a radially stretching surface,” AIP Adv., vol. 9, no. 8, pp. 085026, 2019. DOI: 10.1063/1.5113688.
   Web of Science ®Google Scholar
• P. Shrama and G. Singh, “Steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate,” J. Appl. Sci. Eng., vol. 13, no. 3, pp. 235–242, 2010. DOI: 10.6180/jase.2010.13.3.02.
   Google Scholar
• K. Saeed, S. Akram, A. Ahmad, M. Athar, M. Imran, and T. Muhammad, “Impact of partial slip-on double diffusion convection and inclined magnetic field on peristaltic wave of six-constant Jeffreys nanofluid along asymmetric channel,” Eur. Phys. J. Plus., vol. 137, no. 3, pp. 364, 2022. DOI: 10.1140/epjp/s13360-022-02553-6.
   Web of Science ®Google Scholar