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Stability Analysis of Casson Nanofluid Flow over an Extending/Contracting Wedge and Stagnation Point | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 43، دوره 8، شماره 2، تیر 2022، صفحه 566-579 اصل مقاله (871.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2020.32618.2045 | ||
| نویسندگان | ||
| H.T. Basha؛ R. Sivaraj* | ||
| Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, India | ||
| چکیده | ||
| This numerical study is conducted to scrutinize the dual solutions and stability analysis of the flow of Casson nanofluid past a permeable extending/contracting wedge and stagnation point. Momentum, heat and mass transfer behaviors of the Casson nanofluid have been modeled with the use of the Buongiorno nanofluid model. Suitable self-similarity variables are employed to convert the fluid transport equations into ordinary differential equations and the bvp4c MATLAB solver is used to solve the equations. The impacts of active parameters on fluid transport properties are illustrated graphically. The outcomes of the present analysis reveal that the influence of Casson fluid parameter on velocity and temperature distributions obtained from the first and second solutions exhibit the opposite natures. From the stability analysis, it is found that the thermophoresis and Brownian motion effects acquire the same critical point value on Nusselt number. The temperature distribution of the Casson nanofluid is higher over the wedge than stagnation point. The two solutions are found for the limited range of extending/contracting parameter. The detailed stability test is carried out to determine which of the two solutions is physically realizable and stable. | ||
| کلیدواژهها | ||
| Casson nanofluid؛ Dual solutions؛ Stability test؛ Falkner-Skan flow؛ Wedge/stagnation point | ||
| مراجع | ||
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[1] Sivaraj, R., Kumar, B.R., Unsteady MHD dusty viscoelastic fluid Couette flow in an irregular channel with varying mass diffusion, International Journal of Heat and Mass Transfer, 55, 2012, 3076–3089 [2] Kumar, B.R., Sivaraj, R., Heat and mass transfer in MHD viscoelastic fluid flow over a vertical cone and flat plate with variable viscosity, International Journal of Heat and Mass Transfer, 56, 2013, 370–379. [3] Benazir, A.J., Sivaraj, R., Rashidi, M.M., Comparison Between Casson Fluid Flow in the Presence of Heat and Mass Transfer From a Vertical Cone and Flat Plate, Journal of Heat Transfer, 138, 2016, 112005. [4] Khan, W.A., Sultan, F., Ali, M., Shahzad, M., Khan, M., Irfan, M., Consequences of activation energy and binary chemical reaction for 3D flow of Cross ‑ nanofluid with radiative heat transfer, Journal of the Brazilian Society of Mechanical Sciences, 41, 2019, 4. [5] Ali, L., Omar, Z., Khan, I., Analysis of dual solution for MHD flow of Williamson fluid with slippage, Heliyon, 5, 2019, e01345. [6] Casson, N., A flow equation for the pigment oil suspensions of the printing ink type, Rheology of Disperse Systems, Pergamon, New York, 1959, 84-102. [7] Mythili, D., Sivaraj, R., Influence of higher order chemical reaction and non-uniform heat source / sink on Casson fluid flow over a vertical cone and flat plate, Journal of Molecular Liquids, 216, 2016, 466–475. [8] Raju, C.S.K., Hoque, M.M., Sivasankar, T., Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms, Advanced Powder Technology, 28, 2016, 575–583. [9] Hamid, M., Usman, M., Khan, Z.H., Ahmad, R., Wang, W., Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet, Physics Letters A, 383, 2019, 2400–2408. [10] Rafique, K., Anwar, M.I., Misiran, M., Khan, I., Alharbi, O., Thounthong P., Nisar K.S., Numerical Solution of Casson Nanofluid Flow Over a Non-linear Inclined Surface With Soret and Dufour Effects by Keller-Box Method, Frontiers in Physics, 11, 2019, 7. [11] Rafique, K., Anwar, M.I., Misiran, M., Khan, I., Alharbi, O., Thounthong P., Nisar K.S., Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface, Symmetry, 11, 2019, 1370. [12] Ullah, I., Nisar K.S., Shafie, S., Khan, I., Qasim, M., Khan A., Unsteady Free Convection Flow of Casson Nanofluid Over a Nonlinear Stretching Sheet, IEEE Access, 7, 2019, 93076-93087. [13] Choi, S.U.S., Eastman, J.A., Enhancing thermal conductivity of fluids with nanoparticles, in Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, California, 1217 November (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED, 1995), 231, 1995, 99-105. [14] Basha, H.T., Sivaraj, R., Reddy, A.S., Chamkha, A.J., SWCNH/diamond-ethylene glycol nanofluid flow over a wedge, plate and stagnation point with induced magnetic field and nonlinear radiation – solar energy application, The European Physical Journal Special Topics, 228, 2019, 2531–2551. [15] Hatami, M., Hatami, J., Ganji, D.D., Computer simulation of MHD blood conveying gold nanoparticles as a third grade non-Newtonian nanofluid in a hollow porous vessel, Comput. Methods Programs Biomed., 113, 2013, 632–641. [16] Said, Z., Assad, M.E.H., Hachicha, A.A., Bellos, E., Ali, M., Zeyad, D., Yousef, B.A.A., Enhancing the performance of automotive radiators using nano fluids, Renewable and Sustainable Energy Reviews, 112, 2019, 183–194. [17] Ali F., Ali F., Sheikh, N.A., Khan, I., Nisar K.S., Caputo–Fabrizio fractional derivatives modeling of transient MHD Brinkman nanoliquid: Applications in food technology, Chaos, Solitons & Fractals, 131, 2020, 109489. [18] Abbasi F. M., Shanakhat I., Shehzadb S. A., Analysis of entropy generation in peristaltic nanofluid flow with Ohmic heating and Hall current, Physica Scripta, 94, 2018, 025001. [19] Abbasi F. M., Shanakhat I., Shehzadb S. A., Entropy generation analysis for peristalsis of nanofluid with temperature dependent viscosity and Hall effects, Journal of Magnetism and Magnetic Materials, 474, 2019, 434-441. [20] Buongiorno, J., Convective Transport in Nanofluids, Journal of Heat Transfer, 128, 2006, 240. [21] Basha, H.T., Sivaraj, R., Animasaun, I.L., Makinde, O.D., Influence of Non-Uniform Heat Source/Sink on Unsteady Chemically Reacting Nanofluid Flow over a Cone and Plate, Defect and Diffusion Forum, 389, 2018, 50–59. [22] Abbasi F. M., Shanakhat I., Shehzadb S. A., Hall effects on peristalsis of boron nitride-ethylene glycol nanofluid with temperature dependent thermal conductivity, Physica E: Low-dimensional Systems and Nanostructures, 99, 2018, 275-284. [23] Waqas M., Shehzad S.A., Hayat T., Khan M. I., Alsaedi A., Simulation of magnetohydrodynamics and radiative heat transport in convectively heated stratified flow of Jeffrey nanofluid, Journal of Physics and Chemistry of Solids, 133, 2019, 45-51. [24] Riaz, A., Gul, A., Khan, I., Ramesh K., Khan, S.U. , Baleanu , D., Nisar K.S., Mathematical Analysis of Entropy Generation in the Flow of Viscoelastic Nanofluid through an Annular Region of Two Asymmetric Annuli Having Flexible Surfaces, Coatings, 10, 2020, 213. [25] Basha, H.T., Sivaraj, R., Reddy, A.S., Chamkha A.J., Tilioua, M., Impacts of temperature‑dependent viscosity and variable Prandtl number on forced convective Falkner–Skan flow of Williamson nanofluid, SN Applied Sciences, 2, 2020, 477. [26] Zaimi K., Ishak A., Pop I., Boundary layer flow and heat transfer over a nonlinearly permeable stretching/shrinking sheet in a nanofluid, Scientific Reports, 4, 2014, 4404. [27] Hamid R. A., Nazar R., Pop I., Non-alignment stagnation-point flow of a nanofluid past a permeable stretching/shrinking sheet: Buongiorno’s model, Scientific Reports, 5, 2015, 14640. [28] Lu D., Ramzan M., Huda N., Chung J.D., Farooq U., Nonlinear radiation effect on MHD Carreau nanofluid flow over a radially stretching surface with zero mass flux at the surface, Scientific Reports, 8, 2018, 3709. [29] Khan N.S., Shah Q., Bhaumik A., Kumam P., Thounthong P., Amiri I., Entropy generation in bioconvection nanofluid flow between two stretchable rotating disks, Scientific Reports, 10, 2020, 4448. [30] Khan N.S., Kumam P., Thounthong P., Second law analysis with effects of Arrhenius activation energy and binary chemical reaction on nanofluid flow, Scientific Reports, 10, 2020, 1226. [31] Bachok, N., Ishak, A., Pop, I., Melting heat transfer in boundary layer stagnation-point flow towards a stretching / shrinking sheet, Physics Letters A, 374, 2010, 4075–4079. [32] Alam, M.S., Khatun, M.A., Rahman, M.M., Vajravelu, K., Effects of variable fluid properties and thermophoresis on unsteady forced convective boundary layer flow along a permeable stretching / shrinking wedge with variable Prandtl and Schmidt numbers, International Journal of Mechanical Sciences, 105, 2016, 191–205. [33] Pop, I., Naganthran, K., Nazar, R. Numerical solutions of non-alignment stagnation-point flow and heat transfer over a stretching/shrinking surface in a nanofluid, International Journal of Numerical Methods for Heat & Fluid Flow, 26, 2016, 1747-1767. [34] Dogonchi, A.S., Ganji, D.D., Investigation of MHD nano fluid flow and heat transfer in a stretching / shrinking convergent / divergent channel considering thermal radiation, Journal of Molecular Liquids, 220, 2016, 592–603. [35] Hamid, A., Khan, M., Hafeez, A., Unsteady stagnation-point flow of Williamson fluid generated by stretching / shrinking sheet with Ohmic heating, International Journal of Heat and Mass Transfer, 126, 2018, 933–940. [36] Hashim, Khan, M., Khan, U., Stability analysis in the transient flow of Carreau fluid with non-linear radiative heat transfer and nanomaterials : Critical points, Journal of Molecular Liquids, 272, 2018, 787–800. [37] Usama, Nadeem, S., Khan, A.U., Stability analysis of Cu − H20 nanofluid over a curved stretching / shrinking sheet : Existence of dual solutions, Canadian Journal of Physics, 97, 2019, 911–922. [38] Makinde, O.D., Stagnation Point Flow with Heat Transfer and Temporal Stability of Ferrofluid Past a Permeable Stretching/Shrinking Sheet, Defect and Diffusion Forum, 387, 2018, 510–522. [39] Ghadikolaei, S.S., Hosseinzadeh, K., Ganji, D.D., Investigation on Magneto Eyring-Powell nano fluid flow over inclined stretching cylinder with nolinear thermal radiation and Joule heating effect, World Journal of Engineering, 16, 2019, 51–63. [40] Khan, U., Ahmad, S., Hayyat, A., Khan, I., Nisar, K. S., Baleanu, D., On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids, Applied Sciences, 10, 2020, 886. [41] Lin, H.T., Lin, L.K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number, International Journal of Heat and Mass Transfer, 30, 1987, 1111–1118. [42] Makinde, O.D., On the Chebyshev collocation spectral approach to stability of fluid flow in a porous medium, International Journal for Numerical Methods in Fluids, 59, 2009, 791–799. [43] Harris, S.D., Ingham, D.B., Pop, I., Mixed Convection Boundary-Layer Flow near the Stagnation Point on a Vertical Surface in a Porous Medium : Brinkman Model with Slip, Transport in Porous Media, 77, 2009, 267–285. [44] Shampine, L.F., Gladwell, I., Thompson, S., Solving ODEs with MATLAB, Cambridge University Press, Cambridge, 2003. | ||
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