MHD flow and heat transfer of micropolar nanofluid on a linearly stretching/shrinking porous surface
DOI:
https://doi.org/10.21015/vtm.v11i1.1456Abstract
In this paper, there is considered incompressible steady two-dimensional laminar MHD boundary layer flow, heat and mass transfer characteristics of micropolar nanofluid across a linearly stretching/shrinking porous surface. The effects of the magnetic, thermal slip, mass slip and heat source sink parameters are also considered. By applyingn appropriate similarity variables, the system of governing partial differential equations associated to micropolar nanofluid flow is transformed into a system of non - linear ordinary differential equations. The resulting equations are numerically solved in the Maple software by using shooting technique. The impact of the different applied parameters on skin friction, couple stress, Nusselt and the Sherwood numbers along the related profiles are determined for both stretching and shrinking cases of the surfaces. It was observed that with an increase in suction and magnetic parameters, the fluid velocity decreased. An increment in the thermal slip, the fluid temperature decreased and nanoparticles concentration decreases as the mass slip parameter is enhanced. An increase in concentration decreases but temperature increases. While, concentration and temperature both increase due to increase in thermophoresis parameter, and concentration also increases by increase in rate of chemical reaction. Thus, suction at the boundary and magnetic parameter acted as flow controlling parameter. It is believed that this type of investigation is very much helpful for the manufacturing of complex fluids and also for cleaning oil from surfaces.
References
Abbas, N., Rehman, K. U., Shatanawi, W. and Al-Eid, A. A. [2022], ‘Theoretical study of non-newtonian nmicropolar nanofluid flow over an exponentially stretching surface with free stream velocity’, Advances in Mechanical Engineering 14(7), 16878132221107790.
Abbas, N. and Shatanawi, W. [2022], ‘Theoretical survey of time-dependent micropolar nanofluid flow over a linear curved stretching surface’, Symmetry 14(8), 1629.
Abdal, S., Alhumade, H., Siddique, I., Alam, M. M., Ahmad, I. and Hussain, S. [2021], ‘Radiation and multiple slip effects on magnetohydrodynamic bioconvection flow of micropolar based nanofluid over a stretching surface’, Applied Sciences 11(11), 5136.
Afify, A. A. [2017], ‘The influence of slip boundary condition on casson nanofluid flow over a stretching sheet in the presence of viscous dissipation and chemical reaction’, Mathematical Problems in Engineering 2017.
Amjad, M., Zehra, I., Nadeem, S. and Abbas, N. [2021], ‘Thermal analysis of casson micropolar nanofluid flow over a permeable curved stretching surface under the stagnation region’, Journal of Thermal Analysis and Calorimetry 143, 2485–2497.
Anwar, M., Shafie, S., Hayat, T., Shehzad, S. and Salleh, M. Z. [2017], ‘Numerical study for mhd stagnation-point flow of a micropolar nanofluid towards a stretching sheet’, Journal of the Brazilian Society of Mechanical Sciences and Engineering 39, 89–100.
Aurangzaib, A., Kasim, A., Mohammad, N., Shafie, S. et al. [2013], ‘Unsteady mhd mixed convection flow with heat and mass transfer over a vertical plate in a micropolar fluid-saturated porous medium’,
ournal of Applied Science and Engineering 16(2), 141–150.
Bhatti, M. M., Doranehgard, M. H. and Ellahi, R. [2022], ‘Electro-magneto-hydrodynamic eyring-powell fluid flow through micro-parallel plates with heat transfer and non-darcian effects’, Mathematical Methods in the Applied Sciences .
Chamkha, A. J. and Aly, A. [2010], ‘Mhd free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects’, Chemical Engineering Communications 198(3), 425–441.
Choi, S. U. and Eastman, J. A. [1995], Enhancing thermal conductivity of fluids with nanoparticles, Technical report, Argonne National Lab.(ANL), Argonne, IL (United States).
Das, K. [2012], ‘Slip effects on heat and mass transfer in mhd micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction’, International Journal for Numerical Methods in Fluids 70(1), 96–113.
Dero, S., Rohni, A. M. and Saaban, A. [2019], ‘Mhd micropolar nanofluid flow over an exponentially stretching/shrinking surface: Triple solutions’, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 56(2), 165–174.
Eringen, A. C. [1964], ‘Simple microfluids’, International Journal of Engineering Science 2(2), 205–217.
Hamad, M., Pop, I. and Ismail, A. M. [2011], ‘Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate’, Nonlinear Analysis: Real World Applications 12(3), 1338–1346.
Ishak, A., Nazar, R. and Pop, I. [2008], ‘Heat transfer over a stretching surface with variable heat flux in micropolar fluids’, Physics Letters A 372(5), 559–561.
Kasaeian, A., Daneshazarian, R., Mahian, O., Kolsi, L., Chamkha, A. J., Wongwises, S. and Pop, I. [2017], ‘Nanofluid flow and heat transfer in porous media: a review of the latest developments’, International Journal of Heat and Mass Transfer 107, 778–791.
Khaskheli, M. A., Memon, K. N., Sheikh, A. H., Siddiqui, A. M. and Shah, S. F. [2020], ‘Tank drainage for an electrically conducting newtonian fluid with the use of the bessel function’, Eng. Technol. Appl. Sci. Res 10(2).
Krajnik, P., Pusavec, F. and Rashid, A. [2011], Nanofluids: properties, applications and sustainability aspects in materials processing technologies, in ‘Advances in Sustainable Manufacturing: Proceedings of the 8th Global Conference on Sustainable Manufacturing’, Springer, pp. 107–113.
Kuznetsov, A. and Nield, D. [2010], ‘Natural convective boundary-layer flow of a nanofluid past a vertical plate’, International Journal of Thermal Sciences 49(2), 243–247.
Lanjwani, H. B., Chandio, M. S., Anwar, M. I., Al-Johani, A. S., Khan, I., Alam, M. et al. [2022], ‘Triple solutions with stability analysis of mhd mixed convection flow of micropolar nanofluid with radiation
effect’, Journal of Nanomaterials 2022.
Lanjwani, H. B., Chandio, M. S., Malik, K. and Shaikh, M. M. [2022], ‘Stability analysis of boundary layer flow and heat transfer of fe2o3 and fe-water base nanofluid over a stretching/shrinking sheet with radiation effect’, Engineering, Technology & Applied Science Research 12(1), 8114–8122.
Lanjwani, H., Chandio, M., Anwar, M., Shehzad, S. and Izadi, M. [2021], ‘Dual solutions of timedependent magnetohydrodynamic stagnation point boundary layer micropolar nanofluid flow over
shrinking/stretching surface’, Applied Mathematics and Mechanics 42(7), 1013–1028.
Lukaszewicz, G. [1999a], Micropolar fluids: theory and applications, Springer Science & Business Media.
Lukaszewicz, G. [1999b], Micropolar fluids: theory and applications, Springer Science & Business Media.
Meade, D. B., Haran, B. S. and White, R. E. [1996], ‘The shooting technique for the solution of two-point boundary value problems’, Maple Technical Newsletter 3(1), 1–8.
Memon, K., Islam, S., Siddiqui, A., Khan, S. A., Zafar, N. A. and Akram, M. [2014], ‘Lift and drainage of electrically conducting power law fluid on a vertical cylinder’, Applied Mathematics & Information Sciences 8(1), 45.
Memon, K. N., Alam, M. K., Baili, J., Nawaz, Z., Shiekh, A. H. and Ahmad, H. [2021], ‘Analytical solution of tank drainage flow for electrically conducting newtonian fluid’, Thermal Science 25(Spec. issue 2), 433–439.
Nazar, R., Jaradat, M., Arifin, N. and Pop, I. [2011], ‘Stagnation-point flow past a shrinking sheet in a nanofluid’, Open Physics 9(5), 1195–1202.
Sadiq, K., Jarad, F., Siddique, I. and Ali, B. [2021], ‘Soret and radiation effects on mixture of ethylene glycol-water (50%-50%) based maxwell nanofluid flow in an upright channel’, Complexity 2021, 1–12.
Srinivasacharya, D. and Bindu, K. H. [2016a], ‘Entropy generation in a micropolar fluid flow through an inclined channel’, Alexandria engineering journal 55(2), 973–982.
Srinivasacharya, D. and Bindu, K. H. [2016b], ‘Entropy generation in a micropolar fluid flow through an inclined channel’, Alexandria engineering journal 55(2), 973–982.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC-By) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
This work is licensed under a Creative Commons Attribution License CC BY