The primary purpose of this paper is to investigate the flow and thermal properties of a continuously stretching sheet. To determine temperature, variable thermal conductivity is also encountered. Furthermore, the flow problem considers the convective circumstances of heat and mass transfer. By lowering the number of independent components, the governing equations are reduced into non-dimensional types, which are then numerically solved using the RKF-4 method and shooting methodology. A visualization evaluation of the entangled flow properties is done for velocity concentration and temperature distributions. It is found that the fluid concentration is discovered to be more significant in the case, followed by the and cases. Furthermore, the efficiency of the the parameter’s shifting values control field.
LeeLL. Boundary layer over a thin needle. Phys Fluids1967; 10: 820–822.
2.
NarainJPUberoiMS. Forced heat transfer over a thin needles. J Heat Transfer1972; 94: 240–242.
3.
MukhopadhyaySMandalIC. Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux. J Heat Transfer Asian Res2013; 42: 665–675.
4.
SakiadisBC. Boundary layer behavior on continuous solid at surfaces. Am Inst Chem Eng J1961; 7: 26–28.
5.
SeshadriRMunjamSR. The study of heat and mass transfer in a viscoelastic fluid due to a continuous stretching surface using homotopy analysis method. J Appl Anal Comput2014; 4: 389–403.
6.
SalahuddinTSiddiqueNArshadM. Insight into the dynamics of the non-Newtonian Casson fluid on a horizontal object with variable thickness. Math Comput Simul2020; 177: 211–231.
7.
KumariMNathG. Mixed convection boundary layer flow over a thin vertical cylinder with localized injection/suction and cooling/heating. Int J Heat Mass Transfer2004; 47: 969–976.
8.
SoidSKIshakAPopI. Boundary layer past continuously moving thin needle in a nanofluid. Appl Therm Eng2017; 14: 58–64.
9.
AnandVWJGaneshSIsmailMD, et al. Unsteady MHD dusty fluid flow of an exponentially stretching sheet with heat source through porous medium. Appl Math Sci2015; 9: 2083–2090.
10.
MamathaSUDeviRRAhammadNA, et al. Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations. Int J Modern Phys B2023; 37(1): 2350007.
11.
YürüsoyMPakdemirliM. Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet. Mech Res Commun1999; 26(2): 171–175.
12.
LiaoSJ. On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet. J Fluid Mech2003; 488: 189.
13.
ChenCH. Effect of viscous dissipation on heat transfer in a non-Newtonian liquid film over an unsteady stretching sheet. J Non-Newtonian Fluid Mech2006; 135(2–3): 128–135.
14.
XuHLiaoSJ. Laminar flow and heat transfer in the boundary-layer of non-Newtonian fluids over a stretching flat sheet. Comput Math Appl2009; 57(9): 1425–1431.
15.
FatimaNMajeedANisarKS, et al. Three-dimensional analysis of motile-microorganism and heat transportation of viscoelastic nanofluid with nth order chemical reaction subject to variable thermal conductivity. Case Stud Therm Eng2023; 45: 102896.
16.
ZubairTUsmanMHamidM, et al. Computational analysis of radiative Williamson hybrid nanofluid comprising variable thermal conductivity. Jpn J Appl Phys2021; 60(8): 087004.
17.
ShoaibMRajaMAZZubairG, et al. Intelligent computing with levenberg–marquardt backpropagation neural networks for third-grade nanofluid over a stretched sheet with convective conditions. ArabJ Sci Eng2022; 47(7): 8211–8229.
18.
UddinIUllahIAliR, et al. Numerical analysis of nonlinear mixed convective MHD chemically reacting flow of Prandtl–Eyring nanofluids in the presence of activation energy and Joule heating. J Therm Anal Calorim2021; 145: 495–505.
19.
LiSRaghunathKAlfalehA, et al. Effects of activation energy and chemical reaction on unsteady MHD dissipative Darcy–Forchheimer squeezed flow of Casson fluid over horizontal channel. SciRep2023; 13(1): 2666.
20.
LiSAliFZaibA, et al. Bioconvection effect in the Carreau nanofluid with Cattaneo–Christov heat flux using stagnation point flow in the entropy generation: micromachines level study. Open Phys2023; 21(1): 20220228.
21.
ChuYMJakeerSReddySRR, et al. Double diffusion effect on the bio-convective magnetized flow of tangent hyperbolic liquid by a stretched nano-material with Arrhenius Catalysts. Case Stud Therm Eng2023; 44: 102838.
22.
LiuZLiSSadafT, et al. Numerical bio-convective assessment for rate type nanofluid influenced by Nield thermal constraints and distinct slip features. Case Stud Therm Eng2023; 44: 102821.
23.
SahooB. Flow and heat transfer of a non-Newtonian fluid past a stretching sheet with partial slip. Commun Nonlinear Sci Numer Simul2010; 15(3): 602–615.
24.
KudenattiRB. Hydrodynamic flow of non-Newtonian power-law fluid past a moving wedge or a stretching sheet: a unified computational approach. Sci Rep2020; 10(1): 1–16.
25.
WahabHAZebHBhattiS, et al. Numerical study for the effects of temperature dependent viscosity flow of non-newtonian fluid with double stratification. Appl Sci2020; 10(2): 708.
26.
MalikMYSalahuddinTHussainA, et al. MHD flow of tangent hyperbolic fluid over a stretching cylinder: using Keller box method. J Magn Magn Mater2015; 395: 271–276.
27.
SheikholeslamiMRashidiMMHayatT, et al. Free convection of magnetic nanofluid considering MFD viscosity effect. J Mol Liq2016; 218: 393–399.
28.
KhanMMalikRAnjumA. Exact solutions of MHD second Stokes flow of generalized Burgers fluid. Appl Math Mech2015; 36(2): 211–224.
29.
AliFMNazarRArifinNM, et al. MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field. Appl Math Mech2011; 32(4): 409–418.
30.
ZhuJZhengLCZhangZG. Effects of slip condition on MHD stagnation point flow over a power-law stretching sheet. Appl Math Mech2010; 31(4): 439–448.
31.
RaufAAbbasZShehzadSA. Utilization of Maxwell-Cattaneo law for MHD swirling flow through oscillatory disk subject to porous medium. Appl Math Mech2019; 40(6): 837–850.
