Abstract
The thin needle is perspectived as an object of revolution where its thickness is lesser in comparison to boundary layer thickness. Therefore, the flow deformed by a thin moving needle has significant impact on technological and industrial applications, like, electronic devices, hot wire anemometer and geothermal power generation. Hence, this article presents a mathematical analysis of flow using stretching mechanism of thin needle. The hybrid nanomaterial is represented using the MoS2 (molybdenum disulfide) and SiO2 (silicon dioxide) nanoparticles. Physical influence of mixed convection on slip movement of hybrid nanofluid via movable needle is explored. The impact of thermal slip is encountered in the current analysis. Additionally, stratification impacts along with heat generation/absorption phenomenon are also retained in the study. The simplified governing equations are transmuted into non-dimensional equations and then are analytically solved. A homology method is utilized to find the convergent solutions. Physical explanation of velocity and heat transfer mechanism is debated in detail under pertinent parameters. Force of drag and Nusselt number are elaborated graphically. In this analysis, stratified parameter adversely affects the rate of heat transfer. Moreover, mixed convective phenomenon assisting the flow features.
Similar content being viewed by others
Data Availability Statement
All data generated or analyzed during this study are included in this article (and its supplementary information files).
References
S.U. Choi, J.A. Eastman, Enhancing thermal conductivity of fluids with nanoparticles (No. ANL/MSD/CP-84938; CONF-951135–29). Argonne National Lab., IL (United States) (1995)
V. Rajesh, M.A. Sheremet, H.F. Öztop, Impact of hybrid nanofluids on MHD flow and heat transfer near a vertical plate with ramped wall temperature. Case Stud. Therm. Eng. 28, e101557 (2021)
M. Yaseen, M. Kumar, S.K. Rawat, Assisting and opposing flow of a MHD hybrid nanofluid flow past a permeable moving surface with heat source/sink and thermal radiation. Partial Differ. Equ. Appl. Math. 4, e100168 (2021)
M. Izady, S. Dinarvand, I. Pop, A.J. Chamkha, Flow of aqueous Fe2O3–CuO hybrid nanofluid over a permeable stretching/shrinking wedge: a development on Falkner-Skan problem. Chin. J. Phys. 74, 406–420 (2021)
W.F. Xia, S. Ahmad, M.N. Khan, H. Ahmad, A. Rehman, J. Baili, T.N. Gia, Heat and mass transfer analysis of nonlinear mixed convective hybrid nanofluid flow with multiple slip boundary conditions. Case Stud. Therm. Eng. 32, e101893 (2022)
V.M. Krishna, M.S. Kumar, R. Muthalagu, P.S. Kumar, R. Mounika, Numerical study of fluid flow and heat transfer for flow of Cu-Al2O3-water hybrid nanofluid in a microchannel heat sink. Mater. Today Proc. 49, e1298-1302 (2022)
I. Waini, A. Ishak, I. Pop, Symmetrical solutions of hybrid nanofluid stagnation-point flow in a porous medium. Int. Commun. Heat Mass Transf. 130, e105804 (2022)
L.L. Lee, Boundary layer over a thin needle. Phys. Fluids 10(4), 820–822 (1967)
A.T. Akinshilo, F. Mabood, A.O. Ilegbusi, Heat generation and nonlinear radiation effects on MHD Casson nanofluids over a thin needle embedded in porous medium. Int. Commun. Heat Mass Transf. 127, e105547 (2021)
M. Qasim, N. Riaz, D. Lu, M.I. Afridi, Flow over a needle moving in a stream of dissipative fluid having variable viscosity and thermal conductivity. Arab. J. Sci. Eng. 46(8), 7295–7302 (2021)
S. Jahan, M. Ferdows, M. Shamshuddin, K. Zaimi, Radiative mixed convection flow over a moving needle saturated with non-isothermal hybrid nanofluid. J. Adv. Res. Fluid Mech. Therm. Sci. 88(1), 81–93 (2021)
M. Yasir, A. Ahmed, M. Khan, Carbon nanotubes based fluid flow past a moving thin needle examine through dual solutions: stability analysis. J. Energy Storage 48, e103913 (2022)
P. Singh, D. Kumar, A. Kumari, Effect of heat and mass transfer in nanofluid flow along a vertical thin needle. Mater. Today Proc. (2022). https://doi.org/10.1016/j.matpr.2021.12.574
B. Reddappa, Analysis of the boundary layer flow of thermally conducting Jeffrey fluid over a stratified exponentially stretching sheet. Turk. J. Comput. Math. Educ. (TURCOMAT) 12(13), 730–739 (2021)
M.A. Jafar, Z. Abbas, J. Hasnain, Thermally stratified radiative flow of non-Newtonian fluid between two discs executing diverse type of in-plane motion. Case Stud. Therm. Eng. 26, e101187 (2021)
U. Khan, N. Ahmed, S.T. Mohyud-Din, E.S.M. Sherif, I. Khan, Intensification of thermal stratification on dissipative chemically heating fluid with cross-diffusion and magnetic field over a wedge. Open Phys. 19(1), 877–888 (2021)
S.U. Rehman, N.A. Mir, M. Farooq, N. Rafiq, S. Ahmad, Analysis of thermally stratified radiative flow of Sutterby fluid with mixed convection. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 236(2), 934–942 (2022)
S. Ahmad, A. Anjum, M. Farooq, Rheological aspects of variable diffusive phenomena in the non-linear stratified second grade nanomaterial under Darcy-Forchheimer theory. Alex. Eng. J. 61(3), 2308–2317 (2022)
A.M. Megahed, W. Abbas, Non-Newtonian Cross fluid flow through a porous medium with regard to the effect of chemical reaction and thermal stratification phenomenon. Case Stud. Therm. Eng. 29, e101715 (2022)
S. Liao, Beyond perturbation: introduction to the homotopy analysis method (Chapman and Hall/CRC, London, 2003)
S. Liao, Homotopy analysis method in nonlinear differential equations (Higher education press, Beijing, 2012), pp.153–165
T. Hayat, S. Ali, M. Awais, A. Alsaedi, Joule heating effects in MHD flow of Burgers’ fluid. Heat Transf. Res. 47(12), 1083–1092 (2016)
M. Waqas, T. Hayat, S.A. Shehzad, A. Alsaedi, Transport of magnetohydrodynamic nanomaterial in a stratified medium considering gyrotactic microorganisms. Physica B 529, 33–40 (2018)
A. Anjum, N.A. Mir, M. Farooq, M. Javed, S. Ahmad, Investigations of viscous dissipation in stagnation point flow past a stretchable Riga wall: modern analysis of heat transport. Commun. Theor. Phys. 71(4), 377–383 (2019)
S. Masood, M. Farooq, S. Ahmad, Description of viscous dissipation in magnetohydrodynamic flow of nanofluid: applications of biomedical treatment. Adv. Mech. Eng. 12(6), 1–13 (2020)
A. Ishak, R. Nazar, I. Pop, Boundary layer flow over a continuously moving thin needle in a parallel free stream. Chin. Phys. Lett. 24(10), e2895 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Ahmad, S., Farooq, M. A computational investigation of slip effects on the stratified convective motion of hybrid nanomaterial along a vertical movable needle. Eur. Phys. J. Plus 137, 1375 (2022). https://doi.org/10.1140/epjp/s13360-022-03609-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-03609-3