Mixed convective flow of Casson and Oldroyd-B fluids through a stratified stretching sheet with nonlinear thermal radiation and chemical reaction

References

• Sakiadis BC. Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J. 1961;7:26–28.
   Web of Science ®Google Scholar
• Sakiadis BC. Boundary-layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface. AIChE J. 1961;7:221–225.
   Web of Science ®Google Scholar
• Tsou FK, Sparrow EM, Goldstein RJ. Flow and heat transfer in the boundary layer on a continuous moving surface. Int J Heat Mass Transf. 1967;10:219–235.
   Web of Science ®Google Scholar
• Crane LJ. Flow past a stretching plate. Z Für Angew Math Phys. 1970;21:645–647.
   Web of Science ®Google Scholar
• Brady JF, Acrivos A. Steady flow in a channel or tube with an accelerating surface velocity. An exact solution to the Navier—Stokes equations with reverse flow. J Fluid Mech. 1981;112:127–150.
   Web of Science ®Google Scholar
• Chiam TC. Stagnation-point flow towards a stretching plate. J Phys Soc Japan. 1994;63:2443–2444.
   Google Scholar
• Chamkha AJ. Hydromagnetic three-dimensional free convection on a vertical stretching surface with heat generation or absorption. Int J Heat Fluid Flow. 1999;20:84–92.
   Web of Science ®Google Scholar
• Mahapatra TR, Gupta AS. Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf. 2002;38:517–521.
   Web of Science ®Google Scholar
• Mahapatra TR, Gupta AS. Stagnation-point flow of a viscoelastic fluid towards a stretching surface. Int J Non Linear Mech. 2004;39:811–820.
   Web of Science ®Google Scholar
• Nazar R, Amin N, Filip D, et al. Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int J Eng Sci. 2004;42:1241–1253.
   Web of Science ®Google Scholar
• Ishak A, Nazar R, Pop I. Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. Meccanica. 2006;41:509–518.
   Web of Science ®Google Scholar
• Ishak A, Nazar R, Pop I. Mixed convection on the stagnation point flow toward a vertical, continuously stretching sheet (2007).
   Google Scholar
• Patil PM, Roy S, Chamkha AJ. Mixed convection flow over a vertical power-law stretching sheet. Int J Numer Methods Heat Fluid Flow. Vol. 20 No. 4, 2010 pp. 445–458.
   Web of Science ®Google Scholar
• Zaimi K, Ishak A. Stagnation-point flow towards a stretching vertical sheet with slip effects. Mathematics. 2016;4:27.
   Web of Science ®Google Scholar
• Alzahrani EO, Shah Z, Dawar A, et al. Hydromagnetic mixed convective third grade nanomaterial containing gyrotactic microorganisms toward a horizontal stretched surface. Alexandria Eng J. 2019;58:1421–1429. doi:10.1016/J.AEJ.2019.11.013.
   Web of Science ®Google Scholar
• Hayat T, Kiran A, Imtiaz M, et al. Hydromagnetic mixed convection flow of copper and silver water nanofluids due to a curved stretching sheet. Results Phys. 2016;6:904–910. doi:10.1016/J.RINP.2016.10.023.
   Web of Science ®Google Scholar
• Sharada K, Shankar B. Effect of partial slip and convective boundary condition on MHD mixed convection flow of Williamson fluid over an exponentially stretching sheet in the presence of joule heating. Glob J Pure Appl Math. 2017;13:5965–5975. ISSN 0973
   Google Scholar
• Anantha Kumar K, Sugunamma V, Sandeep N. Physical aspects on unsteady MHD-free convective stagnation point flow of micropolar fluid over a stretching surface. Heat Transf Res. 2019;48:3968–3985.
   Web of Science ®Google Scholar
• Wakif A. A novel numerical procedure for simulating steady MHD convective flows of radiative Casson fluids over a horizontal stretching sheet with irregular geometry under the combined influence of temperature-dependent viscosity and thermal conductivity. Math Probl Eng. 2020;2020:1–20.
   Web of Science ®Google Scholar
• Dawar A, Shah Z, Tassaddiq A, et al. A convective flow of Williamson nanofluid through cone and wedge with non-isothermal and non-isosolutal conditions: a revised Buongiorno model. Case Stud Therm Eng. 2021;24. doi:10.1016/j.csite.2021.100869.
   Web of Science ®Google Scholar
• Soomro FA, Haq RU, Algehyne EA, et al. Thermal performance due to magnetohydrodynamics mixed convection flow in a triangular cavity with circular obstacle. J Energy Storage. 2020;31:101702.
   Web of Science ®Google Scholar
• Kumar MS, Raju CSK, Sherif E-SM, et al. A comprehensive physical insight about enhancement in thermo physical features of newtonian fluid flow by suspending of metallic oxides of single wall carbon nano tube structures. Surf Interfaces. 2021;23:100838.
   Web of Science ®Google Scholar
• Mat NAA, Arifin NM, Nazar R, et al. Radiation effect on Marangoni convection boundary layer flow of a nanofluid. Math Sci. 2012;6:1–6.
   Google Scholar
• Sha Z, Dawar A, Alzahrani EO, et al. Hall effect on couple stress 3D nanofluid flow over an exponentially stretched surface with cattaneo christov heat flux model. IEEE Access. 2019;7. doi:10.1109/ACCESS.2019.2916162.
   Web of Science ®Google Scholar
• Elbashbeshy EMA, Aldawody DA. Effects of thermal radiation and magnetic field on unsteady mixed convection flow and heat transfer over a porous stretching surface. Int J Nonlinear Sci. 2010;9:448–454.
   Google Scholar
• Makinde OD. Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation. Meccanica. 2012;47:1173–1184.
   Web of Science ®Google Scholar
• Abdul-Kahar R, Kandasamy R. Scaling group transformation for boundary-layer flow of a nanofluid past a porous vertical stretching surface in the presence of chemical reaction with heat radiation. Comput Fluids. 2011;52:15–21.
   Web of Science ®Google Scholar
• Ibrahim W, Shankar B. MHD boundary layer flow and heat transfer of a nanofluid past a permeable stretching sheet with velocity, thermal and solutal slip boundary conditions. Comput Fluids. 2013;75:1–10.
   Web of Science ®Google Scholar
• Kumar KA, Sugunamma V, Sandeep N. Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet. J Therm Anal Calorim. 2020;140:2377–2385.
   Web of Science ®Google Scholar
• Yusuf TA, Mabood F. Slip effects and entropy generation on inclined MHD flow of Williamson fluid through a permeable wall with chemical reaction via DTM. Math Model Eng Probl. 2020;7:1–9.
   Google Scholar
• Mabood F, Yusuf TA, Khan WA. Cu–Al2O3–H2O hybrid nanofluid flow with melting heat transfer, irreversibility analysis and nonlinear thermal radiation. J Therm Anal Calorim. 2021;143:973–984. doi:10.1007/S10973-020-09720-W.
   Web of Science ®Google Scholar
• Yusuf TA, Mabood F, Khan WA, et al. Irreversibility analysis of Cu-TiO2-H2O hybrid-nanofluid impinging on a 3-D stretching sheet in a porous medium with nonlinear radiation: Darcy-Forchhiemer’s model. Alexandria Eng J. 2020;59:5247–5261.
   Web of Science ®Google Scholar
• Ferdows M, Adesanya SO, Alzahrani F, et al. Numerical investigation of a boundary layer water-based nanofluid flow with induced magnetic field. Phys A Stat Mech Appl. 2021;570:125492.
   Google Scholar
• Mabood F, Berrehal H, Yusuf TA, et al. Carbon nanotubes-water between stretchable rotating disks with convective boundary conditions: Darcy-Forchheimer scheme. Int J Ambient Energy. 2021: 1–14. doi:10.1080/01430750.2021.1874527.
   Web of Science ®Google Scholar
• Krishna MV, Ahammad NA, Chamkha AJ. Radiative MHD flow of Casson hybrid nanofluid over an infinite exponentially accelerated vertical porous surface. Case Stud Therm Eng. 2021;27:101229.
   Web of Science ®Google Scholar
• Yusuf TA, Kumar RN, Prasannakumara BC, et al. Irreversibility analysis in micropolar fluid film along an incline porous substrate with slip effects. Int Commun Heat Mass Transf. 2021;126:105357.
   Web of Science ®Google Scholar
• Yusuf TA, Mabood F, Gbadeyan JA, et al. Nonlinear convective flow for MHD Oldroyd 8-constant fluid in a channel with chemical reaction and convective boundary condition. J Therm Sci Eng Appl. 2020;12:1–13.
   Web of Science ®Google Scholar
• Mabood F, Yusuf TA, Bognár G. Features of entropy optimization on MHD couple stress nanofluid slip flow with melting heat transfer and nonlinear thermal radiation. Sci Rep. 2020;10:1–13.
   PubMed Web of Science ®Google Scholar
• Ali B, Thumma T, Habib D, et al. Finite element analysis on transient MHD 3D rotating flow of Maxwell and tangent hyperbolic nanofluid past a bidirectional stretching sheet with Cattaneo Christov heat flux model. Therm Sci Eng Prog. Volume 28, 2022, 101089.
   Google Scholar
• Yusuf TA, Akaje TW, Salawu SO, et al. Arrhenius activation energy effect on a stagnation point slippery MHD Casson Nanofluid flow with entropy generation and melting heat transfer. In: Defect Diffus. Forum, Trans Tech Publ, 2021. pp. 1–18.
   Google Scholar
• Krishna MV, Ahamad NA, Chamkha AJ. Radiation absorption on MHD convective flow of nanofluids through vertically travelling absorbent plate. Ain Shams Eng J. 2021;12(3):3043–3056.
   Web of Science ®Google Scholar
• Mabood F, Yusuf TA, Rashad AM, et al. Effects of combined heat and mass transfer on entropy generation due to MHD nanofluid flow over a rotating frame. C Mater Contin. 2021;66:575–587.
   Web of Science ®Google Scholar
• Ameer Ahamad N, Veera Krishna M, Chamkha AJ. Radiation-absorption and Dufour effects on magnetohydrodynamic rotating flow of a nanofluid over a semi-infinite vertical moving plate with a constant heat source. J Nanofluids. 2020;9:177–186.
   Web of Science ®Google Scholar
• Ali B, Naqvi RA, Haider A, et al. Finite element study of MHD impacts on the rotating flow of Casson nanofluid with the double diffusion Cattaneo—Christov heat flux model. Mathematics. 2020;8:1555.
   Web of Science ®Google Scholar
• Ali B, Raju CSK, Ali L, et al. G-Jitter impact on magnetohydrodynamic non-Newtonian fluid over an inclined surface: finite element simulation. Chinese J Phys. 2021;71:479–491.
   Web of Science ®Google Scholar
• Iqbal M, Seadawy AR, Khalil OH, et al. Propagation of long internal waves in density stratified ocean for the (2 + 1)-dimensional nonlinear Nizhnik-Novikov-Vesselov dynamical equation. Results Phys. 2020;16:102838.
   Google Scholar
• Seadawy AR, Iqbal M, Lu D. The nonlinear diffusion reaction dynamical system with quadratic and cubic nonlinearities with analytical investigations. Int J Mod Phys B. 2020;34:2050085.
   Web of Science ®Google Scholar
• Iqbal M, Seadawy AR, Lu D, et al. Construction of bright–dark solitons and ion-acoustic solitary wave solutions of dynamical system of nonlinear wave propagation. Mod Phys Lett A. 2019;34:1950309.
   Web of Science ®Google Scholar
• Seadawy AR, Iqbal M, Lu D. Propagation of long-wave with dissipation and dispersion in nonlinear media via generalized Kadomtsive–Petviashvili modified equal width-Burgers equation. Indian J Phys. 2020;94:675–687.
   Web of Science ®Google Scholar
• Seadawy AR, Iqbal M, Lu D. Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev–Petviashvili modified equal width dynamical equation. Comput Math Appl. 2019;78:3620–3632.
   Web of Science ®Google Scholar
• Lu D, Seadawy AR, Iqbal M. Mathematical methods via construction of traveling and solitary wave solutions of three coupled system of nonlinear partial differential equations and their applications. Results Phys. 2018;11:1161–1171.
   Web of Science ®Google Scholar
• Algehyne EA, Saeed T, Ibrahim M, et al. Investigation of dissimilar laser welding of stainless steel 304 and copper using the artificial neural network model. J Laser Appl. 2021;33:022010.
   Web of Science ®Google Scholar
• Mahmoud EE, Alqarni MM, Algehyne EA, et al. Nanoparticles shape effect on the efficiency of microheat sinks with tightly packed pin-fins. Chem Eng Commun. 2021:1–11. doi:10.1080/00986445.2021.1948408.
   Web of Science ®Google Scholar
• Elanchezhian E, Nirmalkumar R, Balamurugan M, et al. Heat and mass transmission of an Oldroyd-B nanofluid flow through a stratified medium with swimming of motile gyrotactic microorganisms and nanoparticles. J Therm Anal Calorim. 2020;141:2613–2623.
   Web of Science ®Google Scholar
• Dawar A, Shah Z, Alshehri HM, et al. Magnetized and non-magnetized Casson fluid flow with gyrotactic microorganisms over a stratified stretching cylinder. Sci Rep. 2021;11:1–14.
   PubMed Web of Science ®Google Scholar
• Shehzad SA, Alsaedi A, Hayat T, et al. Three-dimensional flow of an Oldroyd-B fluid with variable thermal conductivity and heat generation/absorption. PLoS One. 2013;8:e78240.
   PubMed Web of Science ®Google Scholar
• Dawar A, Saeed A, Islam S, et al. Electromagnetohydrodynamic bioconvective flow of binary fluid containing nanoparticles and gyrotactic microorganisms through a stratified stretching sheet. Sci Rep. 2021;11:1–29.
   PubMed Web of Science ®Google Scholar
• Wakif A, Animasaun IL, Khan U, et al. Dynamics of radiative-reactive Walters-b fluid due to mixed convection conveying gyrotactic microorganisms, tiny particles experience haphazard motion, thermo-migration, and Lorentz force. Phys Scr. 2021. doi:10.1088/1402-4896/AC2B4B.
   Web of Science ®Google Scholar
• Ramesh GK, Kumar KG, Shehzad SA, et al. Enhancement of radiation on hydromagnetic Casson fluid flow towards a stretched cylinder with suspension of liquid-particles. Can J Phys. 2018;96:18–24.
   Web of Science ®Google Scholar