{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T20:02:16Z","timestamp":1770148936904,"version":"3.49.0"},"reference-count":47,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,8,15]],"date-time":"2022-08-15T00:00:00Z","timestamp":1660521600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article is focused on investigating the convective magneto-hydrodynamic single-phase flow for comparative analysis of two different base fluids above an exponentially stretchable porous surface under the effect of the chemical reaction. The Buongiorno fluid model is incorporated to observe the Thermophoresis and Brownian diffusion in this study. Boussinesq approximation for temperature and concentration are accounted for flow to be naturally convective. In this study, water and ethanol are assumed for comparative analysis. Additionally, to achieve the outcomes of the designed three-dimensional flow boundary value, problem technique is employed to simulate the problem in MATLAB. Increase in the magnetic field, thermophoresis diffusion, temperature exponent, and Prandtl number expand thermal boundary, whereas contraction is observed with an increase in porosity. Shear stress rates in respective directions have decreased with an increase in the stretching ratio of the surface. Moreover, through comparison, reasonably enhanced Nusselt number is observed for water under influence of study parameters while the Nusselt number abruptly decreases for ethanol. High mass coefficients are observed for both examined fluids.<\/jats:p>","DOI":"10.3390\/sym14081688","type":"journal-article","created":{"date-parts":[[2022,8,15]],"date-time":"2022-08-15T23:44:03Z","timestamp":1660607043000},"page":"1688","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Magneto-Hydrodynamic Flow above Exponentially Stretchable Surface with Chemical Reaction"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2065-6301","authenticated-orcid":false,"given":"Mubashar","family":"Arshad","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan"}]},{"given":"Azad","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Gujrat, Gujrat 50700, Pakistan"}]},{"given":"Ashraf","family":"Elfasakhany","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, College of Engineering, Taif University, Taif 21944, Saudi Arabia"}]},{"given":"Soumaya","family":"Gouadria","sequence":"additional","affiliation":[{"name":"Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0387-921X","authenticated-orcid":false,"given":"Jan","family":"Awrejcewicz","sequence":"additional","affiliation":[{"name":"Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 90-924 Lodz, Poland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1846-3615","authenticated-orcid":false,"given":"Witold","family":"Paw\u0142owski","sequence":"additional","affiliation":[{"name":"Institute of Machine Tools and Production Engineering, Lodz University of Technology, 90-924 Lodz, Poland"}]},{"given":"Mohamed Abdelghany","family":"Elkotb","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia"},{"name":"Mechanical Engineering Department, College of Engineering, Kafrelsheikh University, Kafr El Sheikh 3516, Egypt"}]},{"given":"Fahad","family":"M. Alharbi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21421, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1007\/BF01587695","article-title":"Flow past a stretching plate","volume":"21","author":"Crane","year":"1970","journal-title":"Z. F\u00fcr Angew. Math. Phys. ZAMP"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/BF01178795","article-title":"Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface","volume":"146","author":"Takhar","year":"2001","journal-title":"Acta Mech."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.icheatmasstransfer.2007.08.006","article-title":"Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet","volume":"35","author":"Sajid","year":"2008","journal-title":"Int. Commun. Heat Mass Transf."},{"key":"ref_4","first-page":"7241","article-title":"Boundary layer flow over a stretching sheet with variable thickness","volume":"218","author":"Fang","year":"2012","journal-title":"Appl. Math. Comput."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"101500","DOI":"10.1016\/j.csite.2021.101500","article-title":"Heat transport investigation of engine oil based rotating nanomaterial liquid flow in the existence of partial slip effect","volume":"28","author":"Hussain","year":"2021","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Hussain, A., Arshad, M., Rehman, A., Hassan, A., Elagan, S.K., and Alshehri, N.A. (2021). Heat transmission of engine-oil-based rotating nanofluids flow with influence of partial slip condition: A Computational model. Energies, 14.","DOI":"10.3390\/en14133859"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"083601","DOI":"10.1063\/1.5046331","article-title":"Numerical study of unsteady hydromagnetic radiating fluid flow past a slippery stretching sheet embedded in a porous medium","volume":"30","author":"Makinde","year":"2018","journal-title":"Phys. Fluids"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Arshad, M., Hussain, A., Hassan, A., Khan, I., Badran, M., Mehrez, S., Elfasakhany, A., Abdeljawad, T., and Galal, A.M. (2022). Heat Transfer Analysis of Nanostructured Material Flow over an Exponentially Stretching Surface: A Comparative Study. Nanomaterials, 12.","DOI":"10.3390\/nano12071204"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1016\/j.ijheatmasstransfer.2018.03.108","article-title":"Shape effects of MoS2 nanoparticles on rotating flow of nanofluid along a stretching surface with variable thermal conductivity: A Galerkin approach","volume":"124","author":"Hamid","year":"2018","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1007\/s00348-020-03043-0","article-title":"Dynamics of a single isolated ferrofluid plug inside a micro-capillary in the presence of externally applied magnetic field","volume":"61","author":"Shyam","year":"2020","journal-title":"Exp. Fluids"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"128077","DOI":"10.1016\/j.colsurfa.2021.128077","article-title":"Irreversibility analysis of hybrid nanofluid flow over a rotating disk: Effect of thermal radiation and magnetic field","volume":"635","author":"Kumar","year":"2022","journal-title":"Colloids Surf. A Physicochem. Eng. Asp."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"10453","DOI":"10.1016\/j.aej.2022.03.069","article-title":"Thermal energy investigation of magneto-hydrodynamic nano-material liquid flow over a stretching sheet: Comparison of single and composite particles","volume":"61","author":"Arshad","year":"2022","journal-title":"Alex. Eng. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"7312","DOI":"10.1038\/s41598-019-43549-0","article-title":"MHD flow of Maxwell fluid with nanomaterials due to an exponentially stretching surface","volume":"9","author":"Farooq","year":"2019","journal-title":"Sci. Rep."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"101248","DOI":"10.1016\/j.csite.2021.101248","article-title":"Heat transportation enrichment and elliptic cylindrical solution of time-dependent flow","volume":"27","author":"Hussain","year":"2021","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Hassan, A., Hussain, A., Arshad, M., Alanazi, M.M., and Zahran, H.Y. (2022). Numerical and Thermal Investigation of Magneto-Hydrodynamic Hybrid Nanoparticles (SWCNT-Ag) under Rosseland Radiation: A Prescribed Wall Temperature Case. Nanomaterials, 12.","DOI":"10.3390\/nano12060891"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"101614","DOI":"10.1016\/j.csite.2021.101614","article-title":"Numerical simulation and thermal enhancement of multi-based nanofluid over an embrittled cone","volume":"28","author":"Hussain","year":"2021","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4526","DOI":"10.3934\/mbe.2022209","article-title":"Prediction of slope stability using Tree Augmented Naive-Bayes classifier: Modeling and performance evaluation","volume":"19","author":"Ahmad","year":"2022","journal-title":"Math. Biosci. Eng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"101244","DOI":"10.1016\/j.csite.2021.101244","article-title":"Heat transport investigation of magneto-hydrodynamics (SWCNT-MWCNT) hybrid nanofluid under the thermal radiation regime","volume":"27","author":"Hussain","year":"2021","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s10483-016-2024-8","article-title":"Unsteady MHD flow over exponentially stretching sheet with slip conditions","volume":"37","author":"Hayat","year":"2016","journal-title":"Appl. Math. Mech."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"101667","DOI":"10.1016\/j.asej.2021.101667","article-title":"Heat transport investigation of hybrid nanofluid (Ag-CuO) porous medium flow: Under magnetic field and Rosseland radiation","volume":"13","author":"Hassan","year":"2022","journal-title":"Ain Shams Eng. J."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1108\/09615530010306939","article-title":"Similarity solutions for hydromagnetic mixed convection heat and mass transfer for Hiemenz flow through porous media","volume":"10","author":"Chakhma","year":"2000","journal-title":"Int. J. Numer. Methods Heat Fluid Flow"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.jmmm.2014.08.004","article-title":"Flow and heat transfer characteristics of magnetic nanofluids: A review","volume":"374","author":"Bahiraei","year":"2015","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"102140","DOI":"10.1016\/j.csite.2022.102140","article-title":"Heat and mass transfer analysis above an unsteady infinite porous surface with chemical reaction","volume":"36","author":"Arshad","year":"2022","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Hussain, A., Elkotb, M.A., Arshad, M., Rehman, A., Sooppy Nisar, K., Hassan, A., and Saleel, C.A. (2021). Computational investigation of the combined impact of nonlinear radiation and magnetic field on three-dimensional rotational nanofluid flow across a stretchy surface. Processes, 9.","DOI":"10.3390\/pr9081453"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.asej.2013.05.003","article-title":"Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation","volume":"5","author":"Pramanik","year":"2014","journal-title":"Ain Shams Eng. J."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1773","DOI":"10.1007\/s00231-012-1024-8","article-title":"Effects of partial slip on boundary layer flow past a permeable exponential stretching sheet in presence of thermal radiation","volume":"48","author":"Mukhopadhyay","year":"2012","journal-title":"Heat Mass Transf."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Ullah, I., Hussain, I., Rehman, K., Wr\u00f3blewski, P., Lewicki, W., and Kavin, B.P. (2022). Exploiting the Moth\u2013Flame Optimization Algorithm for Optimal Load Management of the University Campus: A Viable Approach in the Academia Sector. Energies, 15.","DOI":"10.3390\/en15103741"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"20030","DOI":"10.1038\/s41598-021-99138-7","article-title":"Comsolic solution of an elliptic cylindrical compressible fluid flow","volume":"11","author":"Hussain","year":"2021","journal-title":"Sci. Rep."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Wr\u00f3blewski, P., and Niekurzak, M. (2022). Assessment of the Possibility of Using Various Types of Renewable Energy Sources Installations in Single-Family Buildings as Part of Saving Final Energy Consumption in Polish Conditions. Energies, 15.","DOI":"10.3390\/en15041329"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Hussain, A., Arshad, M., Rehman, A., Hassan, A., Elagan, S.K., Ahmad, H., and Ishan, A. (2021). Three-dimensional water-based magneto-hydrodynamic rotating nanofluid flow over a linear extending sheet and heat transport analysis: A numerical approach. Energies, 14.","DOI":"10.3390\/en14165133"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1007\/s00231-012-1107-6","article-title":"Effect of thermal radiation on MHD flow of blood and heat transfer in a permeable capillary in stretching motion","volume":"49","author":"Misra","year":"2013","journal-title":"Heat Mass Transf."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/j.asej.2012.10.007","article-title":"Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction\/blowing and thermal radiation","volume":"4","author":"Mukhopadhyay","year":"2013","journal-title":"Ain Shams Eng. J."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"725","DOI":"10.1002\/cjce.23876","article-title":"Electro-capillary filling in a microchannel under the influence of magnetic and electric fields","volume":"99","author":"Gorthi","year":"2021","journal-title":"Can. J. Chem. Eng."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"4855","DOI":"10.1016\/j.jmrt.2020.03.005","article-title":"Thermophoretic MHD free stream flow with variable internal heat generation\/absorption and variable liquid characteristics in a permeable medium over a radiative exponentially stretching sheet","volume":"9","author":"Irfan","year":"2020","journal-title":"J. Mater. Res. Technol."},{"key":"ref_35","first-page":"387","article-title":"Impact of thermophoretic transport of Al2O3 nanoparticles on viscoelastic flow of oil-based nanofluid over a porous exponentially stretching surface with activation energy","volume":"67","author":"Etwire","year":"2019","journal-title":"Eng. Trans."},{"key":"ref_36","doi-asserted-by":"crossref","unstructured":"Arshad, M., Hussain, A., Hassan, A., Haider, Q., Ibrahim, A.H., Alqurashi, M.S., Almaliki, A.H., and Abdussattar, A. (2021). Thermophoresis and brownian effect for chemically reacting magneto-hydrodynamic nanofluid flow across an exponentially stretching sheet. Energies, 15.","DOI":"10.3390\/en15010143"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/j.molliq.2016.05.049","article-title":"Effects of thermo-diffusion and thermal radiation on Williamson nanofluid over a porous shrinking\/stretching sheet","volume":"221","author":"Bhatti","year":"2016","journal-title":"J. Mol. Liq."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.ijthermalsci.2016.06.003","article-title":"Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution","volume":"109","author":"Makinde","year":"2016","journal-title":"Int. J. Therm. Sci."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1080\/00986440903359087","article-title":"Similarity solution for unsteady heat and mass transfer from a stretching surface embedded in a porous medium with suction\/injection and chemical reaction effects","volume":"197","author":"Chamkha","year":"2010","journal-title":"Chem. Eng. Commun."},{"key":"ref_40","first-page":"505","article-title":"Combined heat and mass transfer effects on MHD free convection flow past an oscillating plate embedded in porous medium","volume":"52","author":"Chaudhary","year":"2007","journal-title":"Rom. J. Phys."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Abouelregal, A.E., and Marin, M. (2020). The size-dependent thermoelastic vibrations of nanobeams subjected to harmonic excitation and rectified sine wave heating. Mathematics, 8.","DOI":"10.3390\/math8071128"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"593111","DOI":"10.3389\/fphy.2020.593111","article-title":"Recent trends in computational fluid dynamics","volume":"8","author":"Bhatti","year":"2020","journal-title":"Front. Phys."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/j.ijheatmasstransfer.2013.03.074","article-title":"Network numerical analysis of radiation absorption and chemical effects on unsteady MHD free convection through a porous medium","volume":"64","author":"Zueco","year":"2013","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1016\/j.icheatmasstransfer.2010.12.039","article-title":"MHD non-Darcian mixed convection heat and mass transfer over a non-linear stretching sheet with Soret\u2013Dufour effects and chemical reaction","volume":"38","author":"Pal","year":"2011","journal-title":"Int. Commun. Heat Mass Transf."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"2159","DOI":"10.1016\/j.apt.2017.05.022","article-title":"MHD 3D free convective flow of nanofluid over an exponentially stretching sheet with chemical reaction","volume":"28","author":"Nayak","year":"2017","journal-title":"Adv. Powder Technol."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Suleman, M., Ramzan, M., Zulfiqar, M., Bilal, M., Shafee, A., Chung, J.D., Lu, D., and Farooq, U. (2018). Entropy analysis of 3D non-Newtonian MHD nanofluid flow with nonlinear thermal radiation past over exponential stretched surface. Entropy, 20.","DOI":"10.3390\/e20120930"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/j.aej.2013.11.003","article-title":"Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet","volume":"53","author":"Nadeem","year":"2014","journal-title":"Alex. Eng. J."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/8\/1688\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:08:45Z","timestamp":1760141325000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/8\/1688"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,15]]},"references-count":47,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2022,8]]}},"alternative-id":["sym14081688"],"URL":"https:\/\/doi.org\/10.3390\/sym14081688","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,15]]}}}