×

Analysis of two dimensional Carreau fluid flow due to normal surface condition: a generalized Fourier’s and Fick’s laws. (English) Zbl 1527.76088

Physica A 540, Article ID 123024, 13 p. (2020); corrigendum ibid. 570, Article ID 125822, 3 p. (2021).
Summary: In this work, we address the thermal and concentration diffusions of magneto-hydrodynamic Carreau fluid flow induced due to a stretching cylinder along with chemical reaction and zero normal flux condition. The energy and concentration expressions are combined with new theories of heat and mass diffusions (Cattaneo-Christov), which is improve form of Fourier’s and Fick’s laws. The additional terms of thermal and concentration relaxation times are added in Cattaneo-Christov double diffusions. Similarity methodology is employed to moderate the governing PDEs (partial differential equations) into the nonlinear ODEs (ordinary differential equations) which are solved using RK-4 based shooting technique. The remarkable results for velocity, concentration, temperature distributions are established by graphs. Plots and tables presenting influence of friction factor, local heat and mass transfer rate are also examined. It is seen that the temperature distribution increases by enhancing thermophoresis parameter, while reduces with increase values of Prandtl number, Brownian motion and curvature parameter. Moreover, the velocity profile increases with increase values of curvature parameter, Weissenberg number and power law index. The computational results are also compared with current data for limiting cases and good agreement is found.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76R50 Diffusion
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Hashim; Khan, M., On Cattaneo-Christov heat flux model for Carreau fluid flow over a slendering sheet, Results Phys., 7, 310-319 (2017)
[2] Nadeem, S.; Ahmad, S.; Muhammad, N., Cattaneo-Christov flux in the flow of a viscoelastic fluid in the presence of Newtonian heating, J. Molecular Liquids, 237, 180-184 (2017)
[3] Khan, M.; Ahmad, L.; Khan, W. A.; Alshomrani, A. S.; Alzahrani, A. K.; Alghamdi, M. S., A 3D Sisko fluid flow with Cattaneo-christov heat flux model and heterogeneous-homogeneous reactions: A numerical study, J. Molecular Liquids, 238, 19-26 (2017)
[4] A.S. Dogonchi, D.D. Ganji, Impact of Cattaneo-Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect, J. Taiwan Inst. Chem. Eng., https://doi.org/10.1016/j.jtice.2017.08.005. · Zbl 1439.76175
[5] Muhammad, N.; Nadeem, S.; Mustafa, T., Squeezed flow of a nanofluid with Cattaneo-Christov heat and mass fluxes, Results Phys., 7, 862-869 (2017)
[6] Ramzan, M.; Jae, M. B.; Chung, D., Influence of homogeneous-heterogeneous reactions on MHD 3D Maxwell fluid flow with Cattaneo-Christov heat flux and convective boundary condition, J. Molecular Liquids, 230, 415-422 (2017)
[7] Mahesha, M.; Raju, C. S.K., Cattaneo-Christov on heat and mass transfer of unsteady Eyring Powell dusty nanofluid over sheet with heat and mass flux conditions, Inform. Med. Unlocked, 9, 76-85 (2017)
[8] Ramzan, M.; Bilal, M.; Chung, J. D., MHD stagnation point Cattaneo-Christov heat flux in Williamson fluid flow with homogeneous-heterogeneous reactions and convective boundary condition : A numerical approach, J. Molecular Liquids, 225, 856-862 (2017)
[9] Mahanthesh, B.; Gireesha, B. J.; Raju, C. S.K., Cattaneo-Christov heat flux on UCM nanofluid flow across a melting surface with double stratification and exponential space dependent internal heat source, Inform. Med. Unlocked, 9, 26-34 (2017)
[10] B. Ramandevi, J.V. Raman, . Reddy, V. Sugunamma, N. Sandeep, Combined influence of viscous dissipation and nonuniform heat source/sink on MHD non-Newtonian fluid flow with Cattaneo-Christov heat flux, Alex. Eng. J., https://doi.org/10.1016/j.aej.2017.01.026.
[11] Bhatti, M. M.; Zeeshan, A.; Rashidi, M. M., Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion, Eng. Sci. Technol. Int. J., 20, 265-271 (2017)
[12] Xie, Z. Y.; Jian, Y. J., Entropy generation of two-layer magnetohydrodynamic electroosmotic flow through microparallel channels, Energy, 139, 1080-1093 (2017)
[13] Xi, X.; Guo, B.; Xie, B.; Fang, S., Nonlinear thermal instability in the magnetohydrodynamics problem without heat conductivity, J. Differential Equations, 263, 6635-6683 (2017) · Zbl 1370.76028
[14] Luo, Y.; Kim, C. N.; Zhu, M. Q., Magnetohydrodynamic flows tuning in a conduit with multiple channels under a magnetic field applied perpendicular to the plane of flow, J. Hydrodyn. Ser. B, 29, 332-343 (2017)
[15] Soida, S. K.; Ishak, A.; Pop, I., Unsteady MHD flow and heat transfer over a shrinking sheet with ohmic heating, Chinese J. Phys., 55, 1626-1636 (2017)
[16] Nayak, M. K., MHD 3D flow and heat transfer analysis of nanofluid by shrinkingsurface inspired by thermal radiation and viscous dissipation, Int. J. Mech. Sci., 125, 185-193 (2017)
[17] Khan, W. A.; Pop, I., Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transfer, 53, 2477-2483 (2010) · Zbl 1190.80017
[18] Y.S. Daniel, Z.A. Aziz, Z. Ismail, F. Salah, Entropy analysis in electrical magnetohydrodynamic (MHD) flow of nanofluid with effects of thermal radiation, viscous dissipation, and chemical reaction, Theor. Appl. Mech. Lett., http://dx.doi.org/10.1016/j.taml.2017.06.003.
[19] Zhu, C.; Lu, Y.; Fu, T.; Ma, Y.; Li, H. Z., Experimental investigation on gas-liquid mass transfer with fast chemical reaction in microchannel, Int. J. Heat Mass Transfer, 114, 83-89 (2017)
[20] Imad Khan, Mair Khan, M.Y. Malik, T. Salahuddin, . Shafquatullah, Mixed Convection Flow of Eyring-Powell Nanofluid over a Cone and Plate with Chemical Reactive Species, Results Phys., https://doi.org/10.1016/j.rinp.2017.08.042.
[21] Khan, M.; Malik, M. Y.; Salahuddin, T.; Rehman, K. U.; Naseer, M.; Khan, I., MHD flow of williamson nanofluid over a cone and plate with chemically reactive species, J. Molecular Liquids, 231, 580-588 (2017)
[22] Salahuddin, T.; Hussain, A.; Malik, M. Y.; Awais, M.; Khan, M., Carreau nanofluid impinging over a stretching cylinder with generalized slip effects: Using finite difference scheme, Results Phys., 7, 3090-3099 (2017)
[23] Hayat, T.; Khan, M. I.; Farooq, M.; Alsaedi, A.; Waqas, M.; Yasmeen, T., Impact of Cattaneo-Christov heat flux model in flow of variable thermal conductivity fluid over a variable thicked surface, Int. J. Heat Mass Transfer, 99, 702-710 (2016)
[24] Khan, M.; Malik, M. Y.; Salahuddin, T.; Hussian, A.; Khan, F., Boundary layer flow of MHD tangent hyperbolic nanofluid over a stretching sheet: A numerical investigation, Results Phys., 7, 2837-2844 (2017)
[25] Khan, M. I.; Waqas, M.; Hayat, T.; Alsaedi, A., A comparative study of Casson fluid with homogeneous-heterogeneous reactions, J. Colloid Interface Sci., 498, 85-90 (2017)
[26] Khan T. Salahuddin, M.; Malik, M. Y., Change in viscosity of Williamson nanofluid flow due to thermal and solutal stratification, Int. J. Heat Mass Transfer, 126, 941-948 (2018)
[27] Rehman, K. U.; Malik, M. Y.; Zehra, Iffat; Alqarn, M. S., Group theoretical analysis for MHD flow fields: a numerical result, J. Braz. Soc. Mech. Sci. Eng., 41, 156 (2019)
[28] Ali, U.; Rehman, K. U.; Malik, M. Y., The influence of MHD and heat generation/absorption in a Newtonian flow field manifested with Cattaneo-Christov heat flux model, Phys. Scr., 94, Article 085217 pp. (2019)
[29] Khan, Mair; Hussain, Arif; Malik, M. Y.; Salahuddin, T.; Aly, Shaban, Numerical analysis of Carreau fluid flow for generalized Fourier’s and Fick’s laws, Appl. Numeric. Math., 144, 100-117 (2019) · Zbl 1444.76010
[30] Rehman, K. U.; Malik, M. Y.; Bilal, S.; Zehra, Iffat; Ghaffar, S. A., On both magnetohydrodynamics thermal stratified and dual convection flow field features: A computational study, J. Nanofluids, 8, 460-465 (2019)
[31] Hussain, Arif; Malik, M. Y.; Khan, Mair; Salahuddin, T., Application of generalized fourier heat conduction law on MHD viscoinelastic fluid flow over stretching surface, Int. J. Numeric. Methods Heat Fluid Flow (2019)
[32] Khan, Mair; Malik, M. Y.; Salahuddin, T.; Saleem, S.; Hussain, Arif, Change in viscosity of Maxwell fluid flow due to thermal and solutal stratifications, J. Mol. Liq., 288, Article 110970 pp. (2019)
[33] Rehman, K. U.; Awies, M.; Hussain, Arif; Kousar, N.; Malik, M. Y., Mathematical analysis on MHD Prandtl-Eyring nanofluid new mass flux conditions, Math. Methods Appl. Sci., 42, 24-38 (2019) · Zbl 1407.76034
[34] T. Hayat, S. Ali, M.A. Farooq, A. Alsaedi, On Comparison of Series and Numerical Solutions for Flow of Eyring-Powell Fluid with Newtonian Heating And Internal Heat Generation/Absorption, Plos One, https://doi.org/10.1371/journal.pone.0129613.
[35] T. Hayat, S. Ali, M. Awais, A. Alsaedi, Joule heating effects in MHD flow of Burger’s fluid, Heat Transfer Res., http://dx.doi.org/10.1615/HeatTransRes.2016008093.
[36] Shahzad, K. U.; Ali, R., MHD flow of a non-newtonian power law fluid over a vertical stretching sheet with the convective boundary condition, Walailak J. Sci. Technol., 10, 43-56 (2013)
[37] M. Khan, T. Salahuddin, M.Y. Malik, An immediate change in viscosity of Carreau nanofluid due to double stratified medium: Application of Fourier’s and Fick’s laws, J. Braz. Soc. Mech. Sci. Eng., 40(9):457.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.