Thermal Radiation and Magnetic Fields Effects on Nanofluids flowing through Stretch Sheet

Document Type : Research Paper

Authors

1 Department of Applied Science, SVKM Institute of Technology, Dhule, India.

2 Rani Laxmibai Mahavidyalaya Parola, Jalgaon, India.

Abstract

The purpose of the present study is to observe when suction/injection is present, effects of thermophoresis and Brownian motion, emphasises the combined influence of convective heat radiation and the magnetic field nanofluid flow in the direction of a permeable stretched sheet. The Rosseland approximation is used to explain the radiative heat flux in the heat convective analysis. Hypersonic flight, power plants and vehicles, gas turbines and reactors of nuclear power, and the modelling of relevant equipment, among other applications, applicable from radiative heat transfer. The boundary wall is designed into account for stretching and suction/injection circumstances. In order to simplify the dimensionless version of fundamental governing equations, the governing nonlinear partial differential equations (PDEs) are changed to ordinary differential equations (ODEs) by using transformations of similarity.In the final numerical result version of fundamental equations is simplified through the use of the numerical approach of the shooting technique by the Runge-Kutta method and a shooting scheme. Graphical data demonstrations are in order to study the effect on dissimilar physical constraints, such as velocity, temperature, and concentration of surrounding environment the numerical data is also used to look into changing trends in rates of coefficient of skin friction, mass and heat transfer. Additionally in which proposed model is validated is by making comparisons to an isolated instance of a previously researched issue.

Keywords

[1]          Y. Lin, L. Zheng, X. Zhang, L. Ma, G. Chen, MHD pseudo-plastic nanofluid unsteady flow and heat transfer in a finite thin film over stretching surface with internal heat generation, International Journal of Heat and Mass Transfer, Vol. 84, pp. 903-911, 2015.
[2]          C. Zhang, L. Zheng, X. Zhang, G. Chen, MHD flow and radiation heat transfer of nanofluids in porous media with variable surface heat flux and chemical reaction, Applied Mathematical Modelling, Vol. 39, No. 1, pp. 165-181, 2015.
[3]          Y. Lin, L. Zheng, X. Zhang, Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity, International Journal of Heat and Mass Transfer, Vol. 77, pp. 708-716, 2014.
[4]          F. Mabood, S. Ibrahim, M. Rashidi, M. Shadloo, G. Lorenzini, Non-uniform heat source/sink and Soret effects on MHD non-Darcian convective flow past a stretching sheet in a micropolar fluid with radiation, International Journal of Heat and Mass Transfer, Vol. 93, pp. 674-682, 2016.
[5]          G. S. Seth, R. Sharma, B. Kumbhakar, A. J. Chamkha, Hydromagnetic flow of heat absorbing and radiating fluid over exponentially stretching sheet with partial slip and viscous and Joule dissipation, Engineering Computations, 2016.
[6]          S. A. Devi, M. Prakash, Temperature dependent viscosity and thermal conductivity effects on hydromagnetic flow over a slendering stretching sheet, Journal of the Nigerian Mathematical Society, Vol. 34, No. 3, pp. 318-330, 2015.
[7]          T. Hayat, G. Bashir, M. Waqas, A. Alsaedi, MHD 2D flow of Williamson nanofluid over a nonlinear variable thicked surface with melting heat transfer, Journal of Molecular Liquids, Vol. 223, pp. 836-844, 2016.
[8]          T. Hayat, M. I. Khan, A. Alsaedi, M. I. Khan, Homogeneous-heterogeneous reactions and melting heat transfer effects in the MHD flow by a stretching surface with variable thickness, Journal of Molecular Liquids, Vol. 223, pp. 960-968, 2016.
[9]          M. Farooq, M. I. Khan, M. Waqas, T. Hayat, A. Alsaedi, M. I. Khan, MHD stagnation point flow of viscoelastic nanofluid with non-linear radiation effects, Journal of molecular liquids, Vol. 221, pp. 1097-1103, 2016.
[10]        M. I. Khan, T. Hayat, M. I. Khan, A. Alsaedi, A modified homogeneous-heterogeneous reactions for MHD stagnation flow with viscous dissipation and Joule heating, International Journal of Heat and Mass Transfer, Vol. 113, pp. 310-317, 2017.
[11]        T. Hayat, M. I. Khan, M. Waqas, A. Alsaedi, Effectiveness of magnetic nanoparticles in radiative flow of Eyring-Powell fluid, Journal of Molecular Liquids, Vol. 231, pp. 126-133, 2017.
[12]        T. Hayat, M. I. Khan, M. Waqas, T. Yasmeen, A. Alsaedi, Viscous dissipation effect in flow of magnetonanofluid with variable properties, Journal of Molecular Liquids, Vol. 222, pp. 47-54, 2016.
[13]        T. Hayat, M. I. Khan, M. Farooq, A. Alsaedi, T. Yasmeen, Impact of Marangoni convection in the flow of carbon–water nanofluid with thermal radiation, International Journal of Heat and Mass Transfer, Vol. 106, pp. 810-815, 2017.
[14]        T. Hayat, M. Tamoor, M. I. Khan, A. Alsaedi, Numerical simulation for nonlinear radiative flow by convective cylinder, Results in physics, Vol. 6, pp. 1031-1035, 2016.
[15]        M. Tamoor, M. Waqas, M. I. Khan, A. Alsaedi, T. Hayat, Magnetohydrodynamic flow of Casson fluid over a stretching cylinder, Results in physics, Vol. 7, pp. 498-502, 2017.
[16]        N. BABU, G. MURALI, S. BHATI, Casson fluid performance on natural convective dissipative couette flow past an infinite vertically inclined plate filled in porous medium with heat transfer, mhd and hall current effects, International Journal of Pharmaceutical Research, Vol. 10, No. 4, 2018.
[17]        G. Murali, A. Paul, N. Babu, Heat and mass transfer effects on an unsteady hydromagnetic free convective flow over an infinite vertical plate embedded in a porous medium with heat absorption, Int. J. Open Problems Compt. Math, Vol. 8, No. 1, 2015.
[18]        D. Gadipally, M. Gundagani, N. N. Babu, EFFECTS OF THERMAL RADIATION AND CHEMICAL REACTION ON UNSTEADY HYDROMAGNETIC MIXED CONVECTION FLOW PAST AN INFINITE VERTICAL PLATE, Journal of Science and Arts, Vol. 18, No. 3, pp. 763-776, 2018.
[19]        M. Mohammadi, A. Farajpour, A. Moradi, M. Hosseini, Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam, Engineering Analysis with Boundary Elements, Vol. 145, pp. 117-131, 2022.
[20]        M. Mohammadi, A. Rastgoo, Primary and secondary resonance analysis of FG/lipid nanoplate with considering porosity distribution based on a nonlinear elastic medium, Mechanics of Advanced Materials and Structures, Vol. 27, No. 20, pp. 1709-1730, 2020.
[21]        M. Mohammadi, M. Hosseini, M. Shishesaz, A. Hadi, A. Rastgoo, Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads, European Journal of Mechanics-A/Solids, Vol. 77, pp. 103793, 2019.
[22]        M. Mohammadi, A. Rastgoo, Nonlinear vibration analysis of the viscoelastic composite nanoplate with three directionally imperfect porous FG core, Structural Engineering and Mechanics, An Int'l Journal, Vol. 69, No. 2, pp. 131-143, 2019.
[23]        A. Farajpour, A. Rastgoo, M. Mohammadi, Vibration, buckling and smart control of microtubules using piezoelectric nanoshells under electric voltage in thermal environment, Physica B: Condensed Matter, Vol. 509, pp. 100-114, 2017.
[24]        A. Farajpour, M. H. Yazdi, A. Rastgoo, M. Loghmani, M. Mohammadi, Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates, Composite Structures, Vol. 140, pp. 323-336, 2016.
[25]        A. Farajpour, M. H. Yazdi, A. Rastgoo, M. Mohammadi, A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment, Acta Mechanica, Vol. 227, pp. 1849-1867, 2016.
[26]        M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, pp. 2207-2232, 2016.
[27]        M. R. Farajpour, A. Rastgoo, A. Farajpour, M. Mohammadi, Vibration of piezoelectric nanofilm-based electromechanical sensors via higher-order non-local strain gradient theory, Micro & Nano Letters, Vol. 11, No. 6, pp. 302-307, 2016.
[28]        M. Baghani, M. Mohammadi, A. Farajpour, Dynamic and stability analysis of the rotating nanobeam in a nonuniform magnetic field considering the surface energy, International Journal of Applied Mechanics, Vol. 8, No. 04, pp. 1650048, 2016.
[29]        M. Goodarzi, M. Mohammadi, M. Khooran, F. Saadi, Thermo-mechanical vibration analysis of FG circular and annular nanoplate based on the visco-pasternak foundation, Journal of Solid Mechanics, Vol. 8, No. 4, pp. 788-805, 2016.
[30]        H. Asemi, S. Asemi, A. Farajpour, M. Mohammadi, Nanoscale mass detection based on vibrating piezoelectric ultrathin films under thermo-electro-mechanical loads, Physica E: Low-dimensional Systems and Nanostructures, Vol. 68, pp. 112-122, 2015.
[31]        M. Safarabadi, M. Mohammadi, A. Farajpour, M. Goodarzi, Effect of surface energy on the vibration analysis of rotating nanobeam, 2015.
[32]        M. Goodarzi, M. Mohammadi, A. Gharib, Techno-Economic Analysis of Solar Energy for Cathodic Protection of Oil and Gas Buried Pipelines in Southwestern of Iran, in Proceeding of, https://publications.waset.org/abstracts/33008/techno-economic-analysis-of …, pp.
[33]        M. Mohammadi, A. A. Nekounam, M. Amiri, The vibration analysis of the composite natural gas pipelines in the nonlinear thermal and humidity environment, in Proceeding of, https://civilica.com/doc/540946/, pp.
[34]        M. Goodarzi, M. Mohammadi, M. Rezaee, Technical Feasibility Analysis of PV Water Pumping System in Khuzestan Province-Iran, in Proceeding of, https://publications.waset.org/abstracts/18930/technical-feasibility …, pp.
[35]        M. Mohammadi, A. Farajpour, A. Moradi, M. Ghayour, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering, Vol. 56, pp. 629-637, 2014.
[36]        M. Mohammadi, A. Moradi, M. Ghayour, A. Farajpour, Exact solution for thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, pp. 437-458, 2014.
[37]        M. Mohammadi, A. Farajpour, M. Goodarzi, F. Dinari, Thermo-mechanical vibration analysis of annular and circular graphene sheet embedded in an elastic medium, Latin American Journal of Solids and Structures, Vol. 11, pp. 659-682, 2014.
[38]        M. Mohammadi, A. Farajpour, M. Goodarzi, Numerical study of the effect of shear in-plane load on the vibration analysis of graphene sheet embedded in an elastic medium, Computational Materials Science, Vol. 82, pp. 510-520, 2014.
[39]        A. Farajpour, A. Rastgoo, M. Mohammadi, Surface effects on the mechanical characteristics of microtubule networks in living cells, Mechanics Research Communications, Vol. 57, pp. 18-26, 2014.
[40]        S. R. Asemi, M. Mohammadi, A. Farajpour, A study on the nonlinear stability of orthotropic single-layered graphene sheet based on nonlocal elasticity theory, Latin American Journal of Solids and Structures, Vol. 11, pp. 1541-1546, 2014.
[41]        M. Goodarzi, M. Mohammadi, A. Farajpour, M. Khooran, Investigation of the effect of pre-stressed on vibration frequency of rectangular nanoplate based on a visco-Pasternak foundation, 2014.
[42]        S. Asemi, A. Farajpour, H. Asemi, M. Mohammadi, Influence of initial stress on the vibration of double-piezoelectric-nanoplate systems with various boundary conditions using DQM, Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 169-179, 2014.
[43]        S. Asemi, A. Farajpour, M. Mohammadi, Nonlinear vibration analysis of piezoelectric nanoelectromechanical resonators based on nonlocal elasticity theory, Composite Structures, Vol. 116, pp. 703-712, 2014.
[44]        M. Mohammadi, M. Ghayour, A. Farajpour, Free transverse vibration analysis of circular and annular graphene sheets with various boundary conditions using the nonlocal continuum plate model, Composites Part B: Engineering, Vol. 45, No. 1, pp. 32-42, 2013.
[45]        M. Mohammadi, M. Goodarzi, M. Ghayour, A. Farajpour, Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering, Vol. 51, pp. 121-129, 2013.
[46]        M. Mohammadi, A. Farajpour, M. Goodarzi, R. Heydarshenas, Levy type solution for nonlocal thermo-mechanical vibration of orthotropic mono-layer graphene sheet embedded in an elastic medium, Journal of Solid Mechanics, Vol. 5, No. 2, pp. 116-132, 2013.
[47]        M. Mohammadi, A. Farajpour, M. Goodarzi, H. Mohammadi, Temperature Effect on Vibration Analysis of Annular Graphene Sheet Embedded on Visco-Pasternak Foundati, Journal of Solid Mechanics, Vol. 5, No. 3, pp. 305-323, 2013.
[48]        S. Ghannadpour, B. Mohammadi, J. Fazilati, Bending, buckling and vibration problems of nonlocal Euler beams using Ritz method, Composite Structures, Vol. 96, pp. 584-589, 2013.
[49]        M. Danesh, A. Farajpour, M. Mohammadi, Axial vibration analysis of a tapered nanorod based on nonlocal elasticity theory and differential quadrature method, Mechanics Research Communications, Vol. 39, No. 1, pp. 23-27, 2012.
[50]        A. Farajpour, A. Shahidi, M. Mohammadi, M. Mahzoon, Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics, Composite Structures, Vol. 94, No. 5, pp. 1605-1615, 2012.
[51]        M. Mohammadi, M. Goodarzi, M. Ghayour, S. Alivand, Small scale effect on the vibration of orthotropic plates embedded in an elastic medium and under biaxial in-plane pre-load via nonlocal elasticity theory, 2012.
[52]        A. Farajpour, M. Mohammadi, A. Shahidi, M. Mahzoon, Axisymmetric buckling of the circular graphene sheets with the nonlocal continuum plate model, Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, No. 10, pp. 1820-1825, 2011.
[53]        A. Farajpour, M. Danesh, M. Mohammadi, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 3, pp. 719-727, 2011.
[54]        H. Moosavi, M. Mohammadi, A. Farajpour, S. Shahidi, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 1, pp. 135-140, 2011.
[55]        M. Mohammadi, M. Ghayour, A. Farajpour, Analysis of free vibration sector plate based on elastic medium by using new version differential quadrature method, Journal of solid mechanics in engineering, Vol. 3, No. 2, pp. 47-56, 2011.
[56]        A. Farajpour, M. Mohammadi, M. Ghayour, Shear buckling of rectangular nanoplates embedded in elastic medium based on nonlocal elasticity theory, in Proceeding of, www.civilica.com/Paper-ISME19-ISME19_390.html, pp. 390.
[57]        M. Mohammadi, A. Farajpour, A. R. Shahidi, Higher order shear deformation theory for the buckling of orthotropic rectangular nanoplates using nonlocal elasticity, in Proceeding of, www.civilica.com/Paper-ISME19-ISME19_391.html, pp. 391.
[58]        M. Mohammadi, A. Farajpour, A. R. Shahidi, Effects of boundary conditions on the buckling of single-layered graphene sheets based on nonlocal elasticity, in Proceeding of, www.civilica.com/Paper-ISME19-ISME19_382.html, pp. 382.
[59]        M. Mohammadi, M. Ghayour, A. Farajpour, Using of new version integral differential method to analysis of free vibration orthotropic sector plate based on elastic medium, in Proceeding of, www.civilica.com/Paper-ISME19-ISME19_497.html, pp. 497.
[60]        M. Mohammadi, A. Farajpour, A. Rastgoo, Coriolis effects on the thermo-mechanical vibration analysis of the rotating multilayer piezoelectric nanobeam, Acta Mechanica, Vol. 234, No. 2, pp. 751-774, 2023/02/01, 2023.
[61]        E. Magyari, B. Keller, Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface, Journal of Physics D: Applied Physics, Vol. 32, No. 5, pp. 577, 1999.
[62]        B. Bidin, R. Nazar, Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation, European journal of scientific research, Vol. 33, No. 4, pp. 710-717, 2009.
[63]        M. Abd El-Aziz, Viscous dissipation effect on mixed convection flow of a micropolar fluid over an exponentially stretching sheet, Canadian Journal of Physics, Vol. 87, No. 4, pp. 359-368, 2009.
Volume 54, Issue 1
March 2023
Pages 111-126
  • Receive Date: 05 January 2023
  • Revise Date: 04 February 2023
  • Accept Date: 04 February 2023