Characteristic of Thermal Radiation on MHD Fluid Stream of Nano-Fluid over an Exponentially Elongating Sheet by Means of Warm and Mass Fluxes
DOI:
https://doi.org/10.37934/cfdl.14.5.8797Keywords:
Thermal Radiation, Magnetohydrodynamics (MHD), nano-fluid, Warm and Mass fluxesAbstract
The present explore effort addresses the impact of radiation on MHD stream of an incompressible nano fluid due to an elongating elongating piece by warm and mass fluxes border situation. Similarity transformations are applied to attain the self-similar equations which are then solved numerically by means of shooting procedure alongside by means of 4th order Runge-Kutta method. Features of a variety of sundry constraints on the non-dimensional stream, thermal, nanoparticle volume fraction, local Nusselt & local Sherwood figures are visualized. Moreover, the numerical values of friction factor, local Nusselt and Sherwood figures are also computed and analyzed.
References
Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21, no. 4 (1970): 645-647. https://doi.org/10.1007/BF01587695
Dutta, B. K., P. Roy, and A. S. Gupta. "Temperature field in flow over a stretching sheet with uniform heat flux." International Communications in Heat and Mass Transfer 12, no. 1 (1985): 89-94. https://doi.org/10.1016/0735-1933(85)90010-7
Char, Ming-I. "Heat transfer of a continuous, stretching surface with suction or blowing." Journal of Mathematical Analysis and Applications 135, no. 2 (1988): 568-580. https://doi.org/10.1016/0022-247X(88)90172-2
Gupta, P. S., and A. S. Gupta. "Heat and mass transfer on a stretching sheet with suction or blowing." The Canadian journal of chemical engineering 55, no. 6 (1977): 744-746. https://doi.org/10.1002/cjce.5450550619
Nadeem, S., Rizwan Ul Haq, and Z. H. Khan. "Heat transfer analysis of water-based nanofluid over an exponentially stretching sheet, Alexandria Eng." J 53, no. 1 (2014): 219-224. https://doi.org/10.1016/j.aej.2013.11.003
Mukhopadhyay, Swati. "Slip effects on MHD boundary layer flow over an exponentially stretching sheet with suction/blowing and thermal radiation." Ain Shams Engineering Journal 4, no. 3 (2013): 485-491. https://doi.org/10.1016/j.asej.2012.10.007
Zhang, Yan, Min Zhang, and Yu Bai. "Unsteady flow and heat transfer of power-law nanofluid thin film over a stretching sheet with variable magnetic field and power-law velocity slip effect." Journal of the Taiwan Institute of Chemical Engineers 70 (2017): 104-110. https://doi.org/10.1016/j.jtice.2016.10.052
Majeed, A., A. Zeeshan, and R. Ellahi. "Unsteady ferromagnetic liquid flow and heat transfer analysis over a stretching sheet with the effect of dipole and prescribed heat flux." Journal of Molecular liquids 223 (2016): 528-533. https://doi.org/10.1016/j.molliq.2016.07.145
Pal, Dulal, and Prasenjit Saha. "Influence of nonlinear thermal radiation and variable viscosity on hydromagnetic heat and mass transfer in a thin liquid film over an unsteady stretching surface." International Journal of Mechanical Sciences 119 (2016): 208-216. https://doi.org/10.1016/j.ijmecsci.2016.09.026
Weidman, Patrick, and M. R. Turner. "Stagnation-point flows with stretching surfaces: A unified formulation and new results." European Journal of Mechanics-B/Fluids 61 (2017): 144-153. https://doi.org/10.1016/j.euromechflu.2016.09.019
Mukhopadhyay, Swati, Iswar Chandra Moindal, and Tasawar Hayat. "MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation." Chinese Physics B 23, no. 10 (2014): 104701. https://doi.org/10.1088/1674-1056/23/10/104701
Hayat, Tasawar, Maria Imtiaz, and Ahmed Alsaedi. "Impact of magnetohydrodynamics in bidirectional flow of nanofluid subject to second order slip velocity and homogeneous–heterogeneous reactions." Journal of magnetism and magnetic materials 395 (2015): 294-302. https://doi.org/10.1016/j.jmmm.2015.07.092
Lin, Yanhai, Liancun Zheng, Xinxin Zhang, Lianxi Ma, and Goong 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 84 (2015): 903-911. https://doi.org/10.1016/j.ijheatmasstransfer.2015.01.099
Sheikholeslami, Mohsen, Davood Domiri Ganji, M. Younus Javed, and R. Ellahi. "Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model." Journal of magnetism and Magnetic materials 374 (2015): 36-43. https://doi.org/10.1016/j.jmmm.2014.08.021
Farooq, Umer, Tasawar Hayat, Ahmed Alsaedi, and Shijun Liao. "Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel." Applied Mathematics and Computation 242 (2014): 528-540. https://doi.org/10.1016/j.compfluid.2015.01.005
Shehzad, S. A., Z. Abdullah, A. Alsaedi, F. M. Abbasi, and T. Hayat. "Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field." Journal of Magnetism and Magnetic Materials 397 (2016): 108-114. https://doi.org/10.1016/j.jmmm.2015.07.057
Moradi, A., H. Ahmadikia, T. Hayat, and A. Alsaedi. "On mixed convection–radiation interaction about an inclined plate through a porous medium." International Journal of Thermal Sciences 64 (2013): 129-136. https://doi.org/10.1016/j.ijthermalsci.2012.08.014
Sheikholeslami, Mohsen, Davood Domiri Ganji, M. Younus Javed, and R. Ellahi. "Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model." Journal of magnetism and Magnetic materials 374 (2015): 36-43. https://doi.org/10.1016/j.jmmm.2014.08.021
Hayat, T., T. Hussain, S. A. Shehzad, and A. Alsaedi. "Flow of Oldroyd-B fluid with nanoparticles and thermal radiation." Applied Mathematics and Mechanics 36, no. 1 (2015): 69-80. https://doi.org/10.1007/s10483-015-1896-9
Ashraf, M. Bilal, T. Hayat, S. A. Shehzad, and A. Alsaedi. "Mixed convection radiative flow of three dimensional Maxwell fluid over an inclined stretching sheet in presence of thermophoresis and convective condition." AIP Advances 5, no. 2 (2015): 027134. https://doi.org/10.1063/1.4913719
Hayat, T., Numra Gull, M. Farooq, and B. Ahmad. "Thermal radiation effect in MHD flow of Powell—Eyring nanofluid induced by a stretching cylinder." Journal of Aerospace Engineering 29, no. 1 (2016): 04015011. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000501
Aziz, Abdul. "A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition." Communications in Nonlinear Science and Numerical Simulation 14, no. 4 (2009): 1064-1068. https://doi.org/10.1016/j.cnsns.2008.05.003
Hayat, T., M. Waqas, S. A. Shehzad, and A. Alsaedi. "Effects of Joule heating and thermophoresis on the stretched flow with convective boundary condition." Scientia Iranica 21, no. 3 (2014): 682-692.
Mustafa, M., Junaid Ahmad Khan, T. Hayat, and A. Alsaedi. "Sakiadis flow of Maxwell fluid considering magnetic field and convective boundary conditions." Aip Advances 5, no. 2 (2015): 027106. https://doi.org/10.1063/1.4907927
Hayat, T., M. Waqas, S. A. Shehzad, and A. Alsaedi. "Mixed convection radiative flow of Maxwell fluid near a stagnation point with convective condition." Journal of Mechanics 29, no. 3 (2013): 403-409. https://doi.org/10.1017/jmech.2013.6
Hayat, Tasawar, Sajid Qayyum, Ahmed Alsaedi, and Anum Shafiq. "Inclined magnetic field and heat source/sink aspects in flow of nanofluid with nonlinear thermal radiation." International Journal of Heat and Mass Transfer 103 (2016): 99-107. https://doi.org/10.1016/j.ijheatmasstransfer.2016.06.055
Khan, Masood, Waqar Azeem Khan, and Ali Saleh Alshomrani. "Non-linear radiative flow of three-dimensional Burgers nanofluid with new mass flux effect." International Journal of Heat and Mass Transfer 101 (2016): 570-576. https://doi.org/10.1016/j.ijheatmasstransfer.2016.05.056
Bhattacharyya, Krishnendu. "Boundary layer flow and heat transfer over an exponentially shrinking sheet." Chinese Physics Letters 28, no. 7 (2011): 074701. https://doi.org/10.1088/0256-307X/28/7/074701
Bakar, Fairul Naim Abu, and Siti Khuzaimah Soid. "MHD Stagnation-Point Flow and Heat Transfer Over an Exponentially Stretching/Shrinking Vertical Sheet in a Micropolar Fluid with a Buoyancy Effect." Journal of Advanced Research in Numerical Heat Transfer 8, no. 1 (2022): 50-55.
Ewis, Karem Mahmoud. "Analytical Solution of Modified Bingham Fluid Flow through Parallel Plates Channel Subjected to Forchheimer Medium and Hall Current Using Linearized Differential Transformation Method." Journal of Advanced Research in Numerical Heat Transfer 4, no. 1 (2021): 14-31.
Thirupathi, Gurrala, Kamatam Govardhan, and Ganji Narender. "Radiative Magnetohydrodynamics Casson Nanofluid Flow and Heat and Mass Transfer past on Nonlinear Stretching Surface." Beilstein Archives 2021, no. 1 (2021): 65. https://doi.org/10.3762/bxiv.2021.65.v1
Loni, Reyhaneh, Gholamhassan Najafi, Rizalman Mamat, Mohamed Mazlan, and Nor Azwadi Che Sidik. "Nusselt Number Prediction for Oil and Water in Solar Tubular Cavity Receivers." Journal of Advanced Research in Numerical Heat Transfer 8, no. 1 (2022): 19-35.
