ORIGINAL PAPER
Multiple Slips on Boundary Layer Hydromagnetic Nanofluid Flow through a Cylinder with Multiple Regression Analysis
More details
Hide details
1
Mathematics, Chittagong University of Engineering & Technology, Bangladesh
2
Mathematics, Bangladesh University of Engineering and Technology, Bangladesh
Submission date: 2025-08-16
Final revision date: 2025-10-11
Acceptance date: 2026-01-28
Online publication date: 2026-06-01
Publication date: 2026-06-01
International Journal of Applied Mechanics and Engineering 2026;31(2):1-30
KEYWORDS
TOPICS
ABSTRACT
The complex boundary layer (BL) featuring nanofluid phenomena involving multiple slip conditions, heat-mass transfer, magnetohydrodynamics (MHD), stretching ratio, heat generation, curvature, viscous dissipation, thermal radiation, mixed convection, and chemical reaction through a nonlinear stretching cylindrical surface is investigated by this research. The collection of nonlinear partial differential equations is transformed into ordinary differential equations using a suitable transformation. These resultant equations are resolved using a numerical approach, specifically the shooting method. The novelty of this work lies in the integrated analysis of nanofluid boundary layer flow over a nonlinear cylindrical surface, simultaneously incorporating MHD effects, multiple slip conditions, heat and mass transfer, thermal radiation, viscous dissipation, mixed convection, chemical reactions, and heat generation, while providing both numerical solutions and regression-based predictive insights. The velocity gradient increases by almost 58%, 56%, and 49% due to escalating magnetic field, power-law index, and velocity slip, respectively, whereas the Nusselt number increases by almost 39%, 78%, and 47% for escalating heat generation, velocity, and thermal slips, respectively. The significant contributing variables for the multiple regression equations of the skin friction, thermal, and material transport rates are calculated. The research findings may have implications for various engineering and industries such as MHD power generators, drug delivery systems, and boundary layer management in aerodynamics, which control and manage velocity-thermal-concentration fields.
REFERENCES (52)
1.
Gersten K. (1998): Introduction to boundary-layer theory. In: Kluwick A. (eds) Recent Advances in Boundary Layer Theory.– CISM International Centre for Mechanical Sciences, vol.390, pp.1-24,
https://doi.org/10.1007/978-3-....
3.
Khan A.U., Ahmed N., Syed T.M., Alsulami M.D. and Khan I. (2022): A novel analysis of heat transfer in the nanofluid composed by nanodiamond and silver nanomaterials: numerical investigation.– Scientific Reports, vol.12, No.116,
https://doi.org/10.1038/s41598....
4.
Elbashbeshy E.M.A., Asker H.G. and Nagy B. (2022): The effects of heat generation absorption on boundary layer flow of a nanofluid containing gyrotactic microorganisms over an inclined stretching cylinder.– Ain Shams Engineering Journal, vol.13, No.5, No.101690,
https://doi.org/10.1016/j.asej....
5.
Eastman J.A., Phillpot S.R., Choi S.U.S. and Keblinski P. (2004): Thermal transport in nanofluids.– Annual Review of Materials Research, vol.34, pp.219-246,
https://doi.org/10.1146/annure....
6.
Tuckerman D.B. and Pease R.F.W. (1981): High-performance heat sinking for VLSI.– IEEE Electron Device Letters, vol.2, No.5, pp.126-129,
https://doi.org/10.1109/EDL.19....
7.
Elgazery N.S. (2019): Flow of non-Newtonian magneto-fluid with gold and Alumina nanoparticles through a non-Darcian porous medium.– Journal of the Egyptian Mathematical Society, vol.27, No.39,
https://doi.org/10.1186/s42787....
8.
Kandasamy R., Muhaimin I. and Mohamad R. (2013): Thermophoresis and Brownian motion effects on MHD boundary-layer flow of a nanofluid in the presence of thermal stratification due to solar radiation.– International Journal of Mechanical Sciences, vol.70, pp.146-154,
https://doi.org/10.1016/j.ijme....
9.
Reddy P.S. and Chamkha A.J. (2018): Heat and mass transfer characteristics of nanofluid over horizontal circular cylinder.– Ain Shams Engineering Journal, vol.9, No.4, pp.707-716,
https://doi.org/10.1016/j.asej....
10.
Mahdy A. and Chamkha A.J. (2015): Heat transfer and fluid flow of a non-Newtonian nanofluid over an unsteady contracting cylinder employing Buongiornos model.– International Journal of Numerical Methods for Heat & Fluid Flow, vol.25, No.3, pp.703-723,
https://doi.org/10.1108/HFF-04....
11.
Prasannakumara B.C. (2021): Numerical simulation of heat transport in Maxwell nanofluid flow over a stretching sheet considering magnetic dipole effect.– Partial Differential Equations in Applied Mathematics, vol.4, No.100064,
https://doi.org/10.1016/j.padi....
12.
Reddy P.S., Sreedevi P. and Chamkha A.J. (2017): MHD boundary layer flow, heat and mass transfer analysis over a rotating disk through porous medium saturated by Cu-water and Ag-water nanofluid with chemical reaction.– Powder Technology, vol.307, pp.46-55,
https://doi.org/10.1016/j.powt....
13.
Chamkha A.J., Dogonchi A.S. and Ganji D.D. (2019): Magneto-hydrodynamic flow and heat transfer of a hybrid nanofluid in a rotating system among two surfaces in the presence of thermal radiation and joule heating.– AIP Advances, vol.9, No.2, No.025103,
https://doi.org/10.1063/1.5086....
14.
Chamkha A.J. and Krishna V.M. (2019): Hall and ion slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium.– Results in Physics, vol.15, No.102652,
https://doi.org/10.1016/j.rinp....
15.
Bhatti M. and Abdelsalam S.I. (2021): Bio-inspired peristaltic propulsion of hybrid nanofluid flow with Tantalum (Ta) and Gold (Au) nanoparticles under magnetic effects.– Waves in Random and Complex Media, vol.33, No.3, pp.884-904,
https://doi.org/10.1080/174550....
16.
Hussain S., Mehmood K. and Sagheer M. (2016): MHD mixed convection and entropy generation of water-alumina nanofluid flow in a double lid-driven cavity with discrete heating.– Journal of Magnetism and Magnetic Materials, vol.419, pp.140-155,
https://doi.org/10.1016/j.jmmm....
17.
Hussain S., Ahmad S., Mehmood K. and Sagheer M. (2017): Effects of inclination angle on mixed convective nanofluid flow in a double lid-driven cavity with discrete heat sources.– International Journal of Heat and Mass Transfer, vol.106, pp.847-860,
https://doi.org/10.1016/j.ijhe....
18.
Globe S. (1959): Laminar steady state magnetohydrodynamic flow in an annular channel.– Physics of Fluids, vol.2, No.4, pp.404-407,
https://doi.org/10.1063/1.1724....
19.
Kumar V., Madhukesh J.K., Jyothi A.M., Prasannakumara B.C., Ijaz M.K. and Yu-Ming C. (2021): Analysis of single and multi-wall carbon nanotubes (SWCNT/MWCNT) in the flow of Maxwell nanofluid with the impact of magnetic dipole.– Computational and Theoretical Chemistry, vol.1200, No.113223,
https://doi.org/10.1016/j.comp....
20.
Makinde O.D., Khan W.A. and Khan Z.H. (2013): Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet.– International Journal of Heat and Mass Transfer, vol.62, pp.526-533,
https://doi.org/10.1016/j.ijhe....
21.
Khan W.A., Makinde O.D. and Khan Z.H. (2014): MHD boundary layer flow of a nanofluid containing gyrotactic microorganisms past a vertical plate with Navier slip.– International Journal of Heat and Mass Transfer, vol.74, pp.285-291,
https://doi.org/10.1016/j.ijhe....
22.
Vishnu G.N., Ganga B. and Hakeem A.K.A. (2014): Lie symmetry group analysis of magnetic field effects on free convective flow of a nanofluid over a semi infinite stretching sheet.– Journal of the Egyptian Mathematical Society, vol.22, No.2, pp.304-310,
https://doi.org/10.1016/j.joem....
23.
Vishnu G.N., Hakeem A.K.A., Jayaprakash R. and Ganga B. (2014): Analytical and numerical studies on hydromagnetic flow of water based metal nanofluids over a stretching sheet with thermal radiation effect.– Journal of Nanofluids, vol.3, No.2, pp.154-161,
https://doi.org/10.1166/jon.20....
24.
Rashidi M.M., Vishnu G.N., Hakeem A.K.A. and Ganga B. (2014): Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation.– Journal of Molecular Liquids, vol.198, pp.234-238,
https://doi.org/10.1016/j.moll....
25.
Abbas N., Nadeem S., Saleem A., Malik M.Y., Issakhov A. and Alharbi F.M. (2021): Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder.– Chinese Journal of Physics, vol.69, pp.109-117,
https://doi.org/10.1016/j.cjph....
26.
Umeshaiah M., Madhukesh J., Khan U., Rana S., Zaib A., Raizah Z. and Galal A.M. (2022): Dusty nanoliquid flow through a stretching cylinder in a porous medium with the influence of the melting effect.– Processes, vol.10, No.6, No.1065,
https://doi.org/10.3390/pr1006....
27.
El-Zahar E.R., Rashad A.M., Saad W. and Seddek L.F. (2020): Magneto-hybrid nanofluids flow via mixed convection past a radiative circular cylinder.– Scientific Reports, vol.10, No.10494,
https://doi.org/10.1038/s41598....
28.
Pak B.C. and Cho Y. (1998): Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particle.– Experimental Heat Transfer, vol.11, No.2, pp.151-170,
https://doi.org/10.1080/089161....
29.
Ahmad S. and Pop I. (2010): Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids.– International Communications in Heat and Mass Transfer, vol.37, No.8, pp.987-991,
https://doi.org/10.1016/j.iche....
30.
RamReddy Ch., Murthy P.V.S.N., Chamkha A.J. and Rashad A.M. (2013): Soret effect on mixed convection flow in a nanofluid under convective boundary condition.– International Journal of Heat and Mass Transfer, vol.64, pp.384-392,
https://doi.org/10.1016/j.ijhe....
31.
Rashad A.M., Chamkha A.J. and Modather M. (2013): Mixed convection boundary-layer flow of a nanofluid from a horizontal circular cylinder embedded in a porous medium under convective boundary condition.– Computers & Fluids, vol.86, pp.380-388,
https://doi.org/10.1016/j.comp....
32.
Rashad A.M. and Nabwey H.A. (2019): Gyrotactic mixed bioconvection flow of a nanofluid past a circular cylinder with convective boundary condition.– Journal of the Taiwan Institute of Chemical Engineers, vol.99, pp.9-17,
https://doi.org/10.1016/j.jtic....
33.
Rashad A.M., Khan W.A., EL-Kabeir S.M.M. and EL-Hakiem A.M.A. (2019): Mixed convective flow of micropolar nanofluid across a horizontal cylinder in saturated porous medium.– Applied Sciences, vol.9, No.23, No.5241,
https://doi.org/10.3390/app923....
34.
Turkyilmazoglu M. and Pop I. (2013): Heat and mass transfer of unsteady natural convection flow of some nanofluids past a vertical infinite flat plate with radiation effect.– International Journal of Heat and Mass Transfer, vol.59, pp.167-171,
https://doi.org/10.1016/j.ijhe....
35.
Anwar T., Kumam P., Shah Z., Watthayu W. and Thounthong P. (2020): Unsteady radiative natural convective MHD nanofluid flow past a porous moving vertical plate with heat source/sink.– Molecules, vol.25, No.4, No.854,
https://doi.org/10.3390/molecu....
36.
Reddy Y.D. and Shankar B.G. (2023): Comprehensive analysis of thermal radiation impact on an unsteady MHD nanofluid flow across an infinite vertical flat plate with ramped temperature with heat consumption.– Results in Engineering, vol.17, No.100796,
https://doi.org/10.1016/j.rine....
37.
Tayabi T., Chamkha A.J., Melaibari A.A. and Raouache E. (2021): Effect of internal heat generation or absorption on conjugate thermal free convection of a suspension of hybrid nanofluid in a portioned circular annulus.– International Communications in Heat and Mass Transfer, vol.126, No.105397,
https://doi.org/10.1016/j.iche....
38.
Hafeez A. and Khan M. (2021): Flow of Oldroyd-B fluid caused by a rotating disk featuring the Cattaneo-Christof theory with heat generation/absorption.– International Communications in Heat and Mass Transfer, vol.123, No.105179,
https://doi.org/10.1016/j.iche....
39.
Masood S., Farooq M. and Anjum A. (2021): Influence of heat generation/ absorption and stagnation point on polystyrene-TiO2/H2O hybrid nanofluid flow.– Scientific Reports, vol.11, No.22381,
https://doi.org/10.1038/s41598....
40.
Turkyilmazoglu M. (2011): Multiple solutions of heat and mass transfer of MHD slip flow for the viscoelastic fluid over a stretching sheet.– International Journal of Thermal Sciences, vol.50, No.11, pp.2264-2276,
https://doi.org/10.1016/j.ijth....
41.
Turkyilmazoglu M. (2012): Dual and triple solutions for MHD slip flow of non-Newtonian fluid over a shrinking surface.– Computers & Fluids, vol.70, pp.53-58,
https://doi.org/10.1016/j.comp....
42.
Akbar N.S., Khan Z.H. and Nadeem S. (2014): Copper nanoparticle analysis for peristaltic flow in a curved channel with heat transfer characteristics.– European Physical Journal Plus, vol.129, No.149,
https://doi.org/10.1140/epjp/i....
43.
Mustafa M. and Khan J.A. (2017): Numerical study of partial slip effects on MHD flow of nanofluids near a convectively heated stretchable rotating disk.– Journal of Molecular Liquids, vol.234, pp.287-295,
https://doi.org/10.1016/j.moll....
44.
Mahanthesh B., Mabood F., Gireesha B.J. and Gorla R.S.R. (2017): Effects of chemical reaction and partial slip on the three-dimensional flow of a nanofluid impinging on an exponentially stretching surface.– European Physical Journal Plus, vol.132, No.3, No.142,
https://doi.org/10.1140/EPJP/2....
45.
Pradhan S.R., Baag S., Mishra S.R. and Acharya M.R. (2019): Squeezing flow analysis of MHD micropolar fluid on radial and angular velocity: A semianalytical approach.– Heat Transfer-Asian Research, vol.48, No.6, pp.2799-2818,
https://doi.org/10.1002/htj.21....
46.
Mishra S.R., Pattnaik P.K., Baithalu R., Ratha P.K. and Panda S. (2024): Predicting heat transfer performance in transient flow of CNT nanomaterials with thermal radiation past a heated spinning sphere using an artificial neural network: A machine learning approach.– Partial Differential Equations in Applied Mathematics, vol.12, No.100936,
https://doi.org/10.1016/j.padi....
47.
Agbaje T.M., Baithalu R., Mishra S.R. and Panda S. (2024): Irreversibility Processes on the Squeezing Flow Analysis of Blood-Based Micropolar Hybrid Nanofluid Through Parallel Channel: Spectral Quasilinearization Method.– BioNanoScience, vol.14, pp.3226-3240,
https://doi.org/10.1007/s12668....
48.
Panda S., Pattnaik P.K., Baithalu R. and Mishra S.R. (2024): Inertial drag combined with non-uniform heat generation/absorption effects on the hydromagnetic flow of polar nanofluid over an elongating permeable surface due to the impose of chemical reaction.– ZAMM - Journal of Applied Mathematics and Mechanics, vol.104, No.7, No.e202301058,
https://doi.org/10.1002/zamm.2....
49.
Mabood F. and Shateyi S. (2019): Multiple slip effects on MHD unsteady flow heat and mass transfer impinging on permeable stretching sheet with radiation.– Modelling and Simulation in Engineering, vol.2019, No.3052790,
https://doi.org/10.1155/2019/3....
51.
Abdel-Wahed M.S. and El-Said E.M. (2019): Magnetohydrodynamic flow and heat transfer over a moving cylinder in a nanofluid under convective boundary conditions and heat generation.– Thermal Science, vol.23, No.6A, pp.3785-3796,
https://doi.org/10.2298/TSCI17....
52.
Nadeem S., Ul Haq R. and Akbar N.S. (2014): MHD three-dimensional boundary layer flow of Casson nanofluid past a linearly stretching sheet with convective boundary condition.– IEEE Transactions on Nanotechnology, vol.13, No.1, pp.109-115,
https://doi.org/10.1109/TNANO.....