A novel model for viscoelastic fluid flow and heat near a stretchable plate using variable fluid properties: A computational study

References

• F. C. Lai and F. A. Kulacki, “The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium,” Int. J. Heat Mass Transf., vol. 33, no. 5, pp. 1028–1031, May 1990. DOI: 10.1016/0017-9310(90)90084-8.
   Web of Science ®Google Scholar
• H. S. Takhar, S. Nitu and I. Pop, “Boundary layer flow due to a moving plate variable fluid properties,” Acta Mech., vol. 90, no. 1-4, pp. 37–42, March 1991. DOI: 10.1007/BF01177397.
   Web of Science ®Google Scholar
• I. Pop, R. S. R. Gorla and M. Rashidi, “The effect of variable viscosity on flow and heat transfer to a continuous moving flat plate,” Int. J. Eng. Sci., vol. 30, no. 1, pp. 1–6, January 1992. DOI: 10.1016/0020-7225(92)90115-W.
   Web of Science ®Google Scholar
• E. M. A. Elbashbeshy and M. A. A. Bazid, “The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface,” J. Phys. D Appl. Phys., vol. 33, no. 21, pp. 2716–2721, November 2000. DOI: 10.1088/0022-3727/33/21/309.
   Web of Science ®Google Scholar
• M. S. Abel, S. K. Khan and K. V. Prasad, “Study of Visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity,” Int. J. Non-Linear Mech., vol. 37, no. 1, pp. 81–88, January 2002. DOI: 10.1016/S0020-7462(00)00098-6.
   Web of Science ®Google Scholar
• A. M. Salem, “Variable Viscosity and thermal conductivity effects on MHD flow and heat transfer in viscoelastic fluid over a stretching sheet,” Phy. Lett. A, vol. 369, no. 4, pp. 315–322, September 2007. DOI: 10.1016/j.physleta.2007.04.104.
   Web of Science ®Google Scholar
• H. I. Andersson and J. B. Aarseth, “Sakiadis flow with variable fluid properties revisited,” Int. J. Eng. Sci., vol. 45, no. 2-8, pp. 554–561, August 2007. DOI: 10.1016/j.ijengsci.2007.04.012.
   Web of Science ®Google Scholar
• O. D. Makinde, R. Mabood, W. A. Khan and M. S. Tshehla, “MHD flow of a variable viscosity nanofluid over a rapidly stretching convective surface with radiative heat,” J. Mol. Liq., vol. 219, pp. 624–630, July 2016. DOI: 10.1016/j.molliq.2016.03.078.
   Web of Science ®Google Scholar
• N. Y. Abd Elazem and N. S. Elgazery, “Unsteady radiative nanofluid flow near a vertical heated wavy surface with temperature-dependent viscosity,” Chin. J. Phys., vol. 74, pp. 38–52, December 2021. DOI: 10.1016/j.cjph.2021.09.003.
   Web of Science ®Google Scholar
• M. Khan, T. Salahuddin, R. Ali and Q. Khan, “A Blasius boundary layer study for liquids and gasses with variable thermo-physical characteristics and radiative heat flux,” Ain Shams Eng. J., vol. 13, no. 3, pp. 101584, May 2022. DOI: 10.1016/j.asej.2021.09.011.
   Web of Science ®Google Scholar
• N. Alvi, T. Latif, Q. Hussain and S. Asghar, “Peristalsis of nonconstant viscosity Jeffrey fluid with nanoparticles,” Results Phys., vol. 6, pp. 1109–1125, January 2016. DOI: 10.1016/j.rinp.2016.11.045.
   Web of Science ®Google Scholar
• T. Rafiq, M. Mustafa and A. Farooq, “Modeling heat transfer in fluid flow near a decelerating rotating disk with variable fluid properties,” Int. Comm. Heat Mass Transfer, vol. 116, pp. 104673, July 2020. DOI: 10.1016/j.icheatmasstransfer.2020.104673.
   Web of Science ®Google Scholar
• K. Naganthran, M. Mustafa, A. Mushtaq and R. Nazar, “Dual solutions for fluid flow over a stretching/shrinking rotating disk subject to variable fluid properties,” Phys. A Stat. Mech. App., vol. 556, pp. 124773, October 2020. DOI: 10.1016/j.physa2020.124773.
   Web of Science ®Google Scholar
• T. Rafiq, M. Mustafa and M. A. Farooq, “Numerical assessment of Bödewadt flow and heat transfer over a permeable disk with variable fluid properties,” Phys. A Stat. Mech. Appl., vol. 534, pp. 122138, November 2019. DOI: 10.1016/j.physa.2019.122138.
   Google Scholar
• R. I. Tanner, Engineering Rheology. England: Oxford Science Publications, 1958.
   Google Scholar
• L. E. Becker and G. H. Mckinley, “The stability of viscoelastic creeping plane shear flows with viscous heating,” J. Non-Newtonian Fluid Mech., vol. 92, no. 2–3, pp. 109–133, August 2000. DOI: 10.1016/S0377-0257(00)00091-4.
   Web of Science ®Google Scholar
• T. G. Myers, J. P. F. Charpin and M. S. Tshehla, “The flow of variable viscosity fluid between parallel plates with shear heating,” Appl. Math. Model., vol. 30, no. 9, pp. 799–815, September 2006. DOI: 10.1016/j.apm.2005.05.013.
   Web of Science ®Google Scholar
• S. Nadeem and N. S. Akbar, “Peristaltic flow of Jeffery fluid with variable viscosity in an asymmetric channel,” Z. Naturforsch., vol. 64, no. 11, pp. 713–722, November 2009. DOI: 10.1515/zna-2009-1107.
   Google Scholar
• J. A. Gbadeyan, E. O. Titiloye and A. T. Adeosun, “Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip,” Heliyon, vol. 6, no. 1, pp. e03076, January 2020. DOI: 10.1016/j.heliyon.2019.e03076.
   PubMed Web of Science ®Google Scholar
• M. Saeed, B. Ahmad and Q. M. Hassan, “Variable thermal effects of viscosity and radiation of ferrofluid submerged in porus medium,” Ain Shams Eng. J., vol. 13, no. 4, pp. 101653, June 2022. DOI: 10.1016/j.asej.2021.101653.
   Google Scholar
• J. J. Choi, Z. Rusak and J. Tichy, “Maxwell fluid suction flow in a channel,” J. Non-Newtonian Fluid Mech., vol. 85, no. 2-3, pp. 165–187, September 1999. DOI: 10.1016/S0377-0257(98)00197-9.
   Web of Science ®Google Scholar
• T. Hayat, S. Shehzad, M. Mustafa and A. Hendi, “MHD flow of an Oldroyd-B fluid through a porous channel,” Int. J. Chem. React. Eng., vol. 10, no. 1, pp. A8, February 2012. DOI: 10.1515/1542-6580.2655.
   Google Scholar
• M. Mustafa, T. Hayat and A. Alsaedi, “Rotating flow of Oldroyd-B fluid over stretchable surface with Cattaneo – Christov heat flux: analytic solutions,” Int. J. Numer. Methods Heat Fluid Flow, vol. 27, no. 10, pp. 2207–2222, October 2017. DOI: 10.1108/HFF-08-2016-0323.
   Web of Science ®Google Scholar
• A. Aziz, T. Muhammad, A. Alsaedi and T. Hayat, “An optimal study for 3D rotating flow of Oldroyd-B nanofluid with convectively heated surface,” J Braz. Soc. Mech. Sci. Eng., vol. 41, no. 5, pp. 236, April 2019. DOI: 10.1007/s40430-019-1733-8.
   Web of Science ®Google Scholar
• A. Mushtaq, S. Abbasbandy, M. Mustafa, T. Hayat and A. Alasedi, “Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model,” AIP Adv., vol. 6, no. 1, pp. 015208, January 2016. DOI: 10.1063/1.4940133.
   Web of Science ®Google Scholar
• A. Fagbade, B. Falodun and A. Omowaye, “MHD natural convection flow of viscoelastic fluid over an accelerating permeable surface with thermal radiation and heat source or sink: spectral homotopy analysis approach,” Ain Shams Eng. J., vol. 9, no. 4, pp. 1029–1041, December 2018. DOI: 10.1016/j.asej.2016.04.021.
   Web of Science ®Google Scholar
• Z. A. Khan, N. A. Shah, N. Haider, E. R. El-Zahar and S. Yook, “Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport,” Case Stud. Therm. Eng., vol. 35, pp. 102079, July 2022. DOI: 10.1016/j.csite.2022.102079.
   Web of Science ®Google Scholar
• S. Abbasbandy, M. Mustafa, T. Hayat and A. Alsaedi, “Slip effects on MHD boundary layer flow of Oldroyd-B fluid past a stretching sheet: an analytic solution,” J. Braz. Soc. Mech. Sci. Eng., vol. 39, no. 9, pp. 3389–3397, March 2017. DOI: 10.1007/s40430-017-0744-6.
   Web of Science ®Google Scholar
• M. N. Khan, S. Nadeem, N. Ullah and A. Saleem, “Theoretical treatment of radiative Oldroyd-B nanofluid with microorganism pass an exponentially stretching sheet,” Surf. Interfaces, vol. 21, pp. 100686, December 2020. DOI: 10.1016/j.surfin.2020.100686.
   Web of Science ®Google Scholar
• F. Mabood, E. O. Fatunmbi, L. Benos and I. E. Sarris, “Entropy Generation in the magnetohydrodynamics Jeffery nanofluid flow over a stretching sheet with wide range of engineering application parameters,” Int. J. Appl. Comput. Math., vol. 8, no. 3, pp. 98, April 2022. DOI: 10.1007/s40819-022-01301-9.
   Google Scholar
• S. Liu, W. Yang, Y. Ding and L. Zheng, “Effects of stretching velocity on double fractional Jeffreys fluids with rheological synergistic heat conductivity,” Zetischrift Fur,” Naturforschung A, vol. 78, no. 3, pp. 233–247, February 2023. DOI: 10.1515/zna-2022-0252.
   Google Scholar
• Z. Hussain, et al., “A mathematical model for radiative peristaltic flow of Jeffrey fluid in curved channel with Joule heating and different walls: shooting technique analysis,” Ain Shams Eng. J., vol. 13, no. 5, pp. 101685, September 2022. DOI: 10.1016/j.asej.2021.101685.
   Web of Science ®Google Scholar
• A. J. Alqarni, R. E. A. Elkhair, E. M. Elsaid, A.-H. A. Aty and M. S. A. Waheed, “Effect of magnetic force and moderate Reynolds number on MHD Jeffrey hybrid nanofluid through peristaltic channel: application of cancer treatment,” Eur. Phys. J. Plus, vol. 138, no. 2, pp. 137, February 2023. DOI: 10.1140/epjp/s13360-023-03689-9.
   Web of Science ®Google Scholar
• S. Hashemabadi and S. Mirnajafizadeh, “Analysis of viscoelastic fluid flow with temperature dependent properties in plane Couette flow and thin annuli,” Appl. Math. Model., vol. 34, no. 4, pp. 919–930, April 2010. DOI: 10.1016/j.apm.2009.07.001.
   Web of Science ®Google Scholar
• A. Alsaedi, Z. Iqbal, M. Mustafa and T. Hayat, “Exact solutions for the magnetohydrodynamic flow of a Jeffrey fluid with convective boundary conditions and chemical reaction,” Zeitschrift. Für. Naturforsch. A, vol. 67, no. 8-9, pp. 517–524, May 2012. DOI: 10.5560/zna.2012-0054.
   Google Scholar
• S. Tahira, M. Mustafa and A. Mushtaq, “Rotationally symmetric flow of Cu-AL2O3/water hybrid nanofluid over a heated porous boundary,” Proc. Ins. Eng. C. J. Mech. Eng. Sci., vol. 236, no. 3, pp. 1524–1534, February 2022. DOI: 10.1177/09544062211023104.
   Web of Science ®Google Scholar