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Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source

Seetharam Karanamu*, Jayaramireddy Konda**, Shaik Kalesha Vali***

* Department of Mathematics, Aditya Institute of Technology and Management, Tekkali, Srikakulam, Andhra Pradesh. India.

** Science City, Government of Andhra Pradesh, Tadepalli, Guntur District, Andhra Pradesh, India.

*** Department of Basic Science & Humanities and Social Sciences, JNTUK University College of Engineering Vizianagaram, Dwarapudi, Vizianagaram, Andhra Pradesh, India.

Periodicity:July - December'2023
DOI : https://doi.org/10.26634/jmat.12.2.19826

Abstract

A mathematical model that incorporates thermal emission, glutinous indulgence, heat source/sink, substance response, with suction was used to learn the MHD pour of Casson nanofluid in excess of a nonlinearly porous stretched page. There are a series of nonlinear ordinary differential equations that govern the biased differential equations through proper resemblance transformations, as well as then solved by the Homotopy Analysis Approach (HAM). Numerical data and plots are employed to examine the physical limitations on liquid speed, heat, and attentiveness. To examine the flow characteristics at the wall, the skin friction coefficients, local Nusselt digit, and Sherwood numbers are in addition evaluated. With much acclaim, a link between penetrable findings for specific cases is discovered.

Keywords

Nanofluid of Casson, Thermal Emission, Heat Generation/Absorption, Suction, Viscous Dissipation, HAM.

How to Cite this Article?

Karanamu, S., Konda, J., and Vali, S. K. (2023). Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source. i-manager’s Journal on Mathematics, 12(2), 22-35. https://doi.org/10.26634/jmat.12.2.19826

References

[1]. Abel, M. S., Sanjayanand, E., & Nandeppanavar, M. M. (2008). Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations. Communications in Nonlinear Science and Numerical Simulation, 13(9), 1808-1821.

[2]. Ajayi, T. M., Omowaye, A. J., & Animasaun, I. L. (2017). Viscous dissipation effects on the motion of Casson fluid over an upper horizontal thermally stratified melting surface of a paraboloid of revolution: boundary layer analysis. Journal of Applied Mathematics.

[3]. Asghar, S., Mohyuddin, M. R., & Hayat, T. (2005). Effects of Hall current and heat transfer on flow due to a pull of eccentric rotating disks. International Journal of Heat and Mass Transfer, 48(3-4), 599-607.

[4]. Choi, S. U., & Eastman, J. A. (1995). Enhancing Thermal Conductivity of Fluids with Nanoparticles. Argonne National Lab, United States.

[5]. Dash, R. K., Mehta, K. N., & Jayaraman, G. (1996). Effect of yield stress on the flow of a Casson fluid in a homogeneous porous medium bounded by a circular tube. Applied Scientific Research, 57, 133-149.

[6]. F. Mabood, W. A., Khan., & A. I. Ismail, (2015). MHD stagnation point flow and heat transfer impinging on stretching sheet with chemical reaction and transpiration. Chemical Engineering Journal, 273, 430-437.

[7]. Hayat, T., Shehzad, S. A., & Alsaedi, A. (2012). Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid. Applied Mathematics and Mechanics, 33, 1301-1312.

[8]. Ibrahim, S. M., Kumar, P. V., & Lorenzini, G. (2020). Analytical modeling of heat and mass transfer of radiative MHD Casson fluid over an exponentially permeable stretching sheet with chemical reaction. Journal of Engineering Thermophysics, 29, 136-155.

[9]. Ibrahim, S. M., Kumar, P. V., & Makinde, O. D. (2018, November). Chemical reaction and radiation effects on non-Newtonian fluid flow over a stretching sheet with non-uniform thickness and heat source. In Defect and Diffusion Forum (Vol. 387, pp. 319-331). Trans Tech Publications Ltd.

[10]. Ibrahim, S. M., Kumar, P. V., Lorenzini, G., & Lorenzini, E. (2019). Influence of Joule heating and heat source on radiative MHD flow over a stretching porous sheet with power-law heat flux. Journal of Engineering Thermophysics, 28, 332-344.

[11]. Ibrahim, S. M., Lorenzini, G., Kumar, P. V., & Raju, C. S. K. (2017). Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheet. International Journal of Heat and Mass Transfer, 111, 346-355.

[12]. Khan, A. A., Zaimi, K., & Ying, T. Y. (2020). Stagnation point flow of Williamson nanofluid towards a permeable stretching/shrinking sheet with a partial slip. CFD Letters, 12(6), 39-56.

[13]. Kumar, G. C., Reddy, K. J., Konijeti, R. K., & Reddy, M. N. (2018, November). Non-uniform heat source/sink and joule heating effects on chemically radiative MHD mixed convective flow of micropolar fluid over a stretching sheet in porous medium. In Defect and Diffusion Forum (Vol. 388, pp. 281-302). Trans Tech Publications Ltd.

[14]. Kumar, P. V., Ibrahim, S. M., & Jyothsna, K. (2019). Numerical modeling on radiative dissipative MHD flow of a chemically casson fluid over an exponentially inclined stretching surface. Mathematical Modelling of Engineering Problems, 6(4).

[15]. Kumar, P. V., Ibrahim, S. M., & Lorenzini, G. (2017). Impact of thermal radiation and Joule heating on MHD mixed convection flow of a Jeffrey fluid over a stretching sheet using homotopy analysis method. International Journal of Heat and Technology, 35(4), 978-986.

[16]. Kumar, P. V., Ibrahim, S. M., & Lorenzini, G. (2018). The study of three dimensional radiative mhd casson nanofluid over an exponential porous stretching sheet with heat source under convective boundary conditions. International Journal of Heat and Technology, 36(1), 1-10.

[17]. Kumar, P. V., Ibrahim, S. M., & Lorenzini, G. (2021). Investigation of the heat transfer and flow characteristics on Hiemenz flow under the influence of heat source and thermal radiation with hydrodynamic-thermal slips effects. Journal of Mechanical Engineering Research and Developments, 44(9), 369-383.

[18]. Kumaran, V., Banerjee, A. K., Kumar, A. V., & Vajravelu, K. (2009). MHD flow past a stretching permeable sheet. Applied Mathematics and Computation, 210(1), 26-32.

[19]. Liao, S. (2012). Homotopy Analysis Method in Nonlinear Differential Equations. Beijing: Higher Education Press, (pp. 153-165).

[20]. Mabood, F., Ibrahim, S. M., Kumar, P. V., & Khan, W. A. (2017a). Viscous dissipation effects on unsteady mixed convective stagnation point flow using Tiwari-Das nanofluid model. Results in Physics, 7, 280-287.

[21]. Mabood, F., Ibrahim, S. M., Lorenzini, G., & Lorenzini, E. (2017b). Radiation effects on Williamson nanofluid flow over a heated surface with magneto hydrodynamics. International Journal of Heat and Technology, 35(1), 196-204.

[22]. Mabood, F., Khan, W. A., & Ismail, A. M. (2015). MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: a numerical study. Journal of Magnetism and Magnetic Materials, 374, 569-576.

[23]. Mabood, F., Khan, W. A., & Ismail, A. M. (2017). MHD flow over exponential radiating stretching sheet using homotopy analysis method. Journal of King Saud University-Engineering Sciences, 29(1), 68-74.

[24]. Masuda, H., Ebata, A., Teramae, K., & Hishinuma, N. (1993). Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles (dispersion of-Al2O3, SiO2 and TiO2 ultra-fine particles). Netsu Bussei, 7(4), 227-233.

[25]. Mohyuddin, M. R., & Götz, T. (2005). Resonance behaviour of viscoelastic fluid in Poiseuille flow in the presence of a transversal magnetic field. International Journal for Numerical Methods in Fluids, 49(8), 837-847.

[26]. Mohyuddin, M. R., & Rizwan, S. M. (2015). Similarity having perturbation in Newtonian fluid. i-manager's Journal on Mathematics, 4(4), 22-27.

[27]. Mopuri, O., Ganteda, C., Mahanta, B., & Lorenzini, G. (2022a). MHD heat and mass transfer steady flow of a convective fluid through a porous plate in the presence of multiple parameters. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 89(2), 56-75.

[28]. Mopuri, O., Kodi, R., Ganteda, C., Srikakulapu, R., & Lorenzini, G. (2022b). MHD heat and mass transfer steady flow of a convective fluid through a porous plate in the presence of diffusion thermo and aligned magnetic field. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 89(1), 62-76.

[29]. Mukhopadhyay, S. (2013). Casson fluid flow and heat transfer over a nonlinearly stretching surface. Chinese Physics B, 22(7), 074701.

[30]. Mustafa, M., & Khan, J. A. (2015). Model for flow of Casson nanofluid past a non- linearly stretching sheet considering magnetic field effects. American Institute of Physics Advances, 5(7).

[31]. N. Casson, A flow equation for pigment oil suspensions of the printing ink type. In: Mill CC, Rheology of Disperse Systems, 84-104.

[32]. Nadeem, S., Haq, R. U., & Akbar, N. S. (2013). MHD three-dimensional boundary layer flow of Casson nanofluid past a linearly stretching sheet with convective boundary condition. IEEE Transactions on Nanotechnology, 13(1), 109-115.

[33]. Pop, E. (2010). Energy dissipation and transport in nanoscale devices. Nano Research, 3, 147-169.

[34]. Rana, P., & Bhargava, R. (2012). Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: a numerical study. Communications in Nonlinear Science and Numerical Simulation, 17(1), 212-226.

[35]. Rao A. S., Rao, P. P. B., & Ganteda, C. K. (2020). Magnetohydrodynamic Williamson fluid motion over an exponentially stretching sheet with chemically radiative heat source effects under suction/injection. Journal of Mathematics and Computer Science, 10(6), 2634-2657.

[36]. Reddy, C. A., & Shankar, B. (2016). MHD stagnation point flow in a boundary layer of a nano fluid over a stretching sheet in the presence of viscous dissipation and chemical reaction. Mechanics, Materials Science & Engineering Journal, 1-45.

[37]. Reddy, P. S., & Sreedevi, P. (2021). MHD boundary layer heat and mass transfer flow of nanofluid through porous media over inclined plate with chemical reaction. Multidiscipline Modeling in Materials and Structures, 17(2), 317-336.

[38]. Yousif, M. A., Hatami, M., Mahmood, B. A., & Rashidi, M. M. (2017). Thermal boundary layer analysis of nanofluid flow past over a stretching flat plate in different transpiration conditions by using DTM-Padé method. Journal of Mathematics and Computer Science, 17(1), 84-95.

Significance of Thermal Boundary Layer Analysis of MHD Chemically Radiative Dissipative Casson Nanofluid Flow over a Stretching Sheet with Heat Source

Abstract

Keywords

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References

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