The numerical solutions in three-dimensional double diffusive Jeffrey fluid flow with injection effect
DOI:
https://doi.org/10.15282/daam.v7i1.13685Keywords:
Heat-mass transfer, Double Diffusive, Jeffrey fluid flow, Injection effectAbstract
Various engineering and industrial applications are employing the idea of convective double diffusive fluid stream, particularly through an extending surface. In recent times, many researchers have been interested in investigating the stream of Jeffrey fluid due to its application in modelling the behaviour of polymer melts during processing, such as extrusion or injection moulding. Therefore, this study is intended to develop a mathematical model for double diffusive Jeffrey fluid streaming past an elongating sheet. The influence of the injection parameter, together with the non-Newtonian properties, is taken into consideration. By using a similarity transformation, the governing equations, boundary conditions, and physical parameters have been altered into ordinary differential equations. As a result, it is found that the fluid flow is influenced by the injection rate, mixed convection, and buoyancy ratio. This statement is supported by the study, which shows the uplift of velocity as the injection rate parameter increases for larger values of boundary layer thickness. The stream velocity also surges with the rise of the mixed convection parameter and the buoyancy parameter, resulting in a slimmer boundary layer. Meanwhile, the thermal and mass exchange properties depend on the Soret–Dufour factor, where the temperature profile augments for several values of Dufour parameter, and the concentration profile increases for diverse values of Soret parameter.
References
[1] Elsaid EM. Simulation of blood flow in a tapered artery with ternary hybrid nanofluid and Jeffrey model. Modern Physics Letters B. 2025 Jul 20;39(20):2550056.
[2] Raikher YL, Rusakov VV, Perzynski R. Brownian motion in a viscoelastic medium modelled by a Jeffreys fluid. Soft Matter. 2013;9(45):10857-10865.
[3] Ge-JiLe H, Nazeer M, Hussain F, Khan MI, Saleem A, Siddique I. Two-phase flow of MHD Jeffrey fluid with the suspension of tiny metallic particles incorporated with viscous dissipation and porous medium. Advances in Mechanical Engineering. 2021 Mar;13(3):16878140211005960.
[4] Morris JF. Toward a fluid mechanics of suspensions. Physical Review Fluids. 2020 Nov;5(11):110519.
[5] Khan A, Gul T, Ali I, Khalifa HA, Muhammad T, et al. Thermal examination for double diffusive MHD Jeffrey fluid flow through the space of disc and cone apparatus subject to impact of multiple rotations. International Journal of Heat and Fluid Flow. 2024 Apr 1;106:109295.
[6] Ajithkumar M, Lakshminarayana P. Chemically reactive MHD peristaltic flow of Jeffrey nanofluid via a vertical porous conduit with complaint walls under the effects of bioconvection and double diffusion. International Journal of Modern Physics B. 2024 Jun 30;38(16):2450203.
[7] Alqudah M, Imran A, Assiri TA, Alshehri NA, Alfwzan WF, et al. Investigation of thermal radiations impacts with double diffusive convection for Prandtl nanofluid with slip in an asymmetric ciliated channel. Case Studies in Thermal Engineering. 2024 May 1;57:104305.
[8] Kanimozhi N, Vijayaragavan R, Rushi Kumar B, Chamkha AJ. Investigation of Hall current and thermal diffusion effects on unsteady MHD mixed convective Jeffrey fluid flow over an inclined permeable surface with chemical reaction. The European Physical Journal Plus. 2024 Mar;139(3):1-6.
[9] Parvin S, Balakrishnan N, Isa SS. MHD Casson fluid flow under temperature and concentration gradients. Magnetohydrodynamics. 2021 Jul 1;57(3): 353-366.
[10] Sahoo A, Nandkeolyar R. Radiative heat transport of Cattaneo-Christov double diffusive Casson nanofluid flow between two rotating disks with Hall current and activation energy. ZAMM-Journal of Applied Mathematics and Mechanics. 2024 Feb;104(2):e202200419.
[11] Paandurangan B, Errappa Parthasarathy S, Tripathi D, Bég OA. The impact of double-diffusive convection on electroosmotic peristaltic transport of magnetized Casson nanofluid in a porous asymmetric channel. ZAMM-Journal of Applied Mathematics and Mechanics. 2024 Sep;104(9):e202300771.
[12] Parvin S, Isa SS, Jamshed W, Ibrahim RW, Nisar KS. Numerical treatment of 2D-Magneto double-diffusive convection flow of a Maxwell nanofluid: heat transport case study. Case Studies in Thermal Engineering. 2021 Dec 1;28:101383.
[13] Khan MN, Wang Z, Ahammad NA, Rezapour S, Shutaywi M, et al. Mixed convective flow analysis of a Maxwell fluid with double diffusion theory on a vertically exponentially stretching surface. Applied Water Science. 2024 Aug;14(8):172.
[14] Upreti H, Bisht A, Joshi N. MHD Darcy–Forchheimer flow and double-diffusive modeling of Maxwell fluid over rotating stretchable surface: a computational study. Modern Physics Letters B. 2024 Sep 30;38(27):2450227.
[15] Hamza M. Double-diffusive convection in flow of Carreau fluid with variable density inside converging and diverging channels of rectilinear walls. Results in Engineering. 2024 Dec 1;24:103053.
[16] Padma SV, Mallesh MP, Jamuna B, Reddy SR, Jakeer S. Exploring double-diffusive convection in ferromagnetic Carreau nanofluid with magnetic dipole: insights for solar thermal systems over plate, wedge, and stagnation. Case Studies in Thermal Engineering. 2024 Sep 1;61:104952.
[17] Alomari MA, Al-Farhany K, Al-Salami QH, Alyousuf FQ, Ali IR, et al. Numerical analysis of double-diffusive free convection in a curvilinear cavity filled with nanofluid and triple fins attached to the hot walls. The European Physical Journal Plus. 2024 Feb 9;139(2):149.
[18] Prajapati VJ, Meher R. Analysing Soret, Dufour, and activation energy effects on heat and mass transfer thin film flow of an MHD Williamson ternary hybrid nanofluid over a non-Darcy porous stretching surface. The European Physical Journal Plus. 2025 Mar 1;140(2):177.
[19] Mng'ang'a J, Richard Onyango E. Joule heating and induced magnetic field on magnetohydrodynamic generalised Couette flow of Jeffrey fluid in an inclined channel with Soret and Dufour effects. International Journal of Ambient Energy. 2024 Dec 31;45(1):2305328.
[20] Mahla R, Kaladhar K. Effect of Hall current, Soret number, and inclined magnetic field on entropy generation of mixed convection Jeffrey fluid flow through sloping channel under Navier-slip condition. ZAMM-Journal of Applied Mathematics and Mechanics. 2024 Apr;104(4):e202300700.
[21] Ullah H, Alqahtani AM, Raja MA, Fiza M, Ullah K, et al. Numerical treatment based on artificial neural network to Soret and Dufour effects on MHD squeezing flow of Jeffrey fluid in horizontal channel with thermal radiation. International Journal of Thermofluids. 2024 Aug 1;23:100725.
[22] Basha H. Heat and mass transport phenomenon on 3D MHD Jeffery nano-liquid past an exponentially stretchable sheet subject to Soret and Dufour effect: optimal solutions. ZAMM-Journal of Applied Mathematics and Mechanics. 2024 Apr;104(4):e202300602.
[23] Fard MS, Torabiyan A, Jalili P, Jalili B, Ganji DD. Investigating the magnetohydrodynamics non-Newtonian fluid movement on a tensile plate affected by variable thickness with Dufour and Soret effects: Akbari Ganji and finite element methods. International Journal of Electrochemical Science. 2024 Aug 1;19(8):100701.
[24] Sudarmozhi K, Iranian D, Khan I, Hajjej F, Omer AS, et al. Heat generation in dual convection non-Newtonian MHD Darcy's flow with Soret and Dufour effects. Case Studies in Thermal Engineering. 2024 Jan 1;53:103704.
[25] Parvin S, Isa SS, Soid SK. Three-dimensional model of double diffusive magnetohydrodynamic Newtonian fluid flow. Magnetohydrodynamics. 2021 Jul 1;57(3):365-376.
[26] Ahmad K, Hanouf Z, Ishak A. Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect. AIP Advances. 2016 Mar 1;6(3):035012.
[27] Parvin S, Isa SS, Arifin NM, Ali FM. Soret and Dufour effects on magneto-hydrodynamics Newtonian fluid flow beyond a stretching/shrinking sheet. CFD Letters. 2020;12(8):85-97.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 The Author(s)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
