Melting Heat Transfer Effects on MHD Chemically Thermally Radiative Micropolar Fluid Flow towards Stretching Exponentially Sheet with Heat Sink/Source

Authors

  • Shaik Mohammed Ibrahim Department of Mathematics, Koneru Lakshmaiah Education Foundation, Green Fields, Vaddeswaram andhra Pradesh 522302, India
  • Bommanna Lavanya Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka 576104, India
  • Gurram Dharmaiah Department of Mathematics, Narasaraopeta Engineering College, Narasaraopet Andhra Pradesh 522601, India
  • Thummala Sankar Reddy Department of Mathematics, Annamacharya Institute of Technology and Sciences, C. K. Dinne Andhra Pradesh 516003, India
  • Parakapali Roja Department of Mathematics, Annamacharya Institute of Technology and Sciences, Rajampeta Andhra Pradesh 516126, India

DOI:

https://doi.org/10.37934/cfdl.17.7.113129

Keywords:

Thermal radiation, melting heat transfer, MHD, micropolar, heat source/sink, chemical reaction

Abstract

The effective use of non-Newtonian fluids is vital for situations involving heat and mass transfer. For instance, we employ thermal paste, a non-Newtonian fluid, to cool the CPU. By means of a computational approach, the behaviour of non-Newtonian on the surface of a two-dimensional steady MHD boundary layer flow and melting heat and mass transfer over a micropolar fluid is presented here, in conjunction with a partially slipper sheet at the surface providing heat generation/absorption. Further, heat radiation as well as chemical reactions are considered. Using similarity parameters, the governing nonlinear partial differential equations for heat, mass and flow are converted into a series of coupled nonlinear ordinary differential equations, then solved using the Runge–Kutta fourth order integration scheme and the shooting method. For various parameters defining the flow within the boundary layer, the new findings for velocity, microrotation, temperature and concentration are graphed. Graphic representations of local skin friction, Nusselt number and Sherwood number are provided. Boosting the melting parameter decreases fluid velocity, microrotation and temperature significantly. An intensification in slip near the boundary decreases both fluid velocity and microrotation, but opposite effects are observed on temperature.

Downloads

Download data is not yet available.

Author Biographies

Shaik Mohammed Ibrahim, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Green Fields, Vaddeswaram andhra Pradesh 522302, India

ibrahim@kluniversity.in

Bommanna Lavanya, Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka 576104, India

lavanya.b@manipal.edu

Gurram Dharmaiah, Department of Mathematics, Narasaraopeta Engineering College, Narasaraopet Andhra Pradesh 522601, India

dharma.g2007@gmail.com

Thummala Sankar Reddy, Department of Mathematics, Annamacharya Institute of Technology and Sciences, C. K. Dinne Andhra Pradesh 516003, India

tsthummalamaths@gmail.com

Parakapali Roja, Department of Mathematics, Annamacharya Institute of Technology and Sciences, Rajampeta Andhra Pradesh 516126, India

rojasvu09@gmail.com

References

Sharma, Surbhi, Amit Dadheech, Amit Parmar, Jyoti Arora, Qasem Al-Mdallal and S. Saranya. "MHD micro polar fluid flow over a stretching surface with melting and slip effect." Scientific reports 13, no. 1 (2023): 10715. https://doi.org/10.1038/s41598-023-36988-3

Saraswathy, M., D. Prakash and Putta Durgaprasad. "MHD micropolar fluid in a porous channel provoked by viscous dissipation and non-linear thermal radiation: an analytical approach." Mathematics 11, no. 1 (2022): 183. https://doi.org/10.3390/math11010183

Narla, V. K., Dharmendra Tripathi and D. S. Bhandari. "Thermal analysis of micropolar fluid flow driven by electroosmosis and peristalsis in microchannels." International Journal of Ambient Energy 43, no. 1 (2022): 8193-8205. https://doi.org/10.1080/01430750.2022.2091034

Wang, Lian, Xihua Chu, Ji Wan and Chenxi Xiu. "Implementation of micropolar fluids model and hydrodynamic behavior analysis using user-defined function in FLUENT." Advances in Mechanical Engineering 12, no. 7 (2020): 1687814020943052. https://doi.org/10.1177/1687814020943052

Pasha, Pooya, Saeid Mirzaei and Meysam Zarinfar. "Application of numerical methods in micropolar fluid flow and heat transfer in permeable plates." Alexandria Engineering Journal 61, no. 4 (2022): 2663-2672. https://doi.org/10.1016/j.aej.2021.08.040

Karvelas, Evangelos, Giorgos Sofiadis, Thanasis Papathanasiou and Ioannis Sarris. "Effect of micropolar fluid properties on the blood flow in a human carotid model." Fluids 5, no. 3 (2020): 125. https://doi.org/10.3390/fluids5030125

Vanitha, G. P., U. S. Mahabaleshwar, M. Hatami and Xiaohu Yang. "Heat and mass transfer of micropolar liquid flow due to porous stretching/shrinking surface with ternary nanoparticles." Scientific Reports 13, no. 1 (2023): 3011. https://doi.org/10.1038/s41598-023-29469-0

Srinivasacharya, D. and K. Hima Bindu. "Entropy generation of micropolar fluid flow in an inclined porous pipe with convective boundary conditions." Sādhanā 42 (2017): 729-740. https://doi.org/10.1007/s12046-017-0639-3

Kocić, Miloš, Živojin Stamenković, Jelena Petrović and Jasmina Bogdanović-Jovanović. "MHD micropolar fluid flow in porous media." Advances in Mechanical Engineering 15, no. 6 (2023): 16878132231178436. https://doi.org/10.1177/16878132231178436

Zhu, Weiyao. "Theoretical study of micropolar fluid flow in porous media." Advances in Geo-Energy Research 5, no. 4 (2021): 465-472. https://doi.org/10.46690/ager.2021.04.11

Musa, Awad, Aamir Hamid, Muhammad Yasir and Muzamil Hussain. "Effect of nonlinear thermal radiation and melting heat transfer assessment on magneto-nanofluid through a shrinking surface." Waves in Random and Complex Media (2022): 1-18. https://doi.org/10.1080/17455030.2022.2084575

Akinshilo, A. T., A. O. Ilegbusi, H. M. Ali, M. Sanusi and M. G. Sobamowo. "Impact of melting and radiation on MHD mixed convective heat transfer slip flow through vertical porous embedded micro-channel." Journal of Central South University 30, no. 11 (2023): 3670-3681. https://doi.org/10.1007/s11771-023-5400-y

Lee, Yee-Ting, Liang-Han Chien, Fan-Bill Cheung and An-Shik Yang. "Numerical and experimental investigations on melting heat transfer performance of PCM in finned cold thermal energy storage." International Journal of Heat and Mass Transfer 210 (2023): 124199. https://doi.org/10.1016/j.ijheatmasstransfer.2023.124199

Ramzan, Muhammad and Naila Shaheen. "Impact of melting heat transfer and variable characteristics on an MHD non-Newtonian shear-thinning fluid flow with gyrotactic microorganisms over a nonlinear stretched surface." Journal of Applied Mathematics and Physics 11, no. 8 (2023): 2461-2471. https://doi.org/10.4236/jamp.2023.118157

Yang, Hong, Aaqib Majeed, Kamel Al-Khaled, Tasawar Abbas, Muhammad Naeem, Sami Ullah Khan and Munazza Saeed. "Significance of melting heat transfer and Brownian motion on flow of Powell–Eyring fluid conveying nano-sized particles with improved energy systems." Lubricants 11, no. 1 (2023): 32. https://doi.org/10.3390/lubricants11010032

Narender, P. and T. Ramakrishna Goud. "Melting Heat Transfer on Magnetohydrodynamics-Nanofluid Boundary Layer Flow Past a Stretching Sheet: Thermal Radiation and Viscous Dissipation Effects." Journal of Nanofluids 12, no. 6 (2023): 1566-1576. https://doi.org/10.1166/jon.2023.2040

Sushma, T. C., N. Nalinakshi, P. A. Dinesh, D. V. Jayalakshmamma and T. Sravan Kumar. "Convective heat transfer and MHD flow through semi-porous cylindrical filters embedded in an impermeable region." Chinese Journal of Physics 81 (2023): 9-25. https://doi.org/10.1016/j.cjph.2022.10.015

Anand Kumar, S. Abhilash, S. Sreedhar and M. Veera Krishna. "Heat and mass transfer on unsteady MHD convective flow through porous medium between two vertical plates with chemical reaction." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 238, no. 4 (2024): 1665-1675. https://doi.org/10.1177/09544089231160877

Kumar, Vasa Vijaya, Mamidi Narsimha Raja Shekar and Shankar Goud Bejawada. "Heat and Mass Transfer Significance on MHD Flow over a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Generation." CFD Letters 16, no. 5 (2024): 9-20. https://doi.org/10.37934/cfdl.16.5.920

Ebiwareme, Liberty and Kubugha Wilcox Bunonyo. "MHD Fluid Flowing through a Vertical Porous Plate with the Influence of a Magnetic Field and an Angle of Inclination Using the Method of Reduced Differential Transformation." Asian Journal of Pure and Applied Mathematics (2023): 179-193.

Sheikholeslami, M., M. Hatami and D. D. Ganji. "Analytical investigation of MHD nanofluid flow in a semi-porous channel." Powder Technology 246 (2013): 327-336. https://doi.org/10.1016/j.powtec.2013.05.030

Reddy, JV Ramana, V. Sugunamma, N. Sandeep and C. Sulochana. "Influence of chemical reaction, radiation and rotation on MHD nanofluid flow past a permeable flat plate in porous medium." Journal of the Nigerian Mathematical Society 35, no. 1 (2016): 48-65. https://doi.org/10.1016/j.jnnms.2015.08.004

Bhatti, Muhammad Mubashir, S. R. Mishra, Tehseen Abbas and Mohammad Mehdi Rashidi. "A mathematical model of MHD nanofluid flow having gyrotactic microorganisms with thermal radiation and chemical reaction effects." Neural Computing and Applications 30 (2018): 1237-1249. https://doi.org/10.1007/s00521-016-2768-8

Tistomo, Arfan Sindhu and Aditya Achmadi. "Thermal radiation effect measurement in enclosure calibration." In Journal of Physics: Conference Series, vol. 2498, no. 1, p. 012022. IOP Publishing, 2023. https://doi.org/10.1088/1742-6596/2498/1/012022

Shah, Syed Amir Ghazi Ali, Ali Hassan, Hanen Karamti, Abdullah Alhushaybari, Sayed M. Eldin and Ahmed M. Galal. "Effect of thermal radiation on convective heat transfer in MHD boundary layer Carreau fluid with chemical reaction." Scientific Reports 13, no. 1 (2023): 4117. https://doi.org/10.1038/s41598-023-31151-4

Harish, Modalavalasa, Shaik Mohammed Ibrahim, Parthi Vijaya Kumar and Giulio Lorenzini. "A study on effects of thermal radiative dissipative MHD non-Newtonian nanofluid above an elongating sheet in porous medium." Journal of Applied and Computational Mechanics 9, no. 4 (2023): 945-954.

Magyari, E. and B. Keller. "Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface." Journal of Physics D: Applied Physics 32, no. 5 (1999): 577. https://doi.org/10.1088/0022-3727/32/5/012

Bidin, Biliana and Roslinda Nazar. "Numerical solution of the boundary layer flow over an exponentially stretching sheet with thermal radiation." European journal of scientific research 33, no. 4 (2009): 710-717.

Ishak, Anuar. "MHD boundary layer flow due to an exponentially stretching sheet with radiation effect." Sains Malaysiana 40, no. 4 (2011): 391-395.

Khan, Umair, Aurang Zaib, Ioan Pop, Iskandar Waini and Anuar Ishak. "MHD flow of a nanofluid due to a nonlinear stretching/shrinking sheet with a convective boundary condition: Tiwari–Das nanofluid model." International Journal of Numerical Methods for Heat & Fluid Flow 32, no. 10 (2022): 3233-3258. https://doi.org/10.1108/HFF-11-2021-0730

Khan, Umar, Zafar Mahmood, Sayed M. Eldin, Basim M. Makhdoum, Bandar M. Fadhl and Ahmed Alshehri. "Mathematical analysis of heat and mass transfer on unsteady stagnation point flow of Riga plate with binary chemical reaction and thermal radiation effects." Heliyon 9, no. 3 (2023). https://doi.org/10.1016/j.heliyon.2023.e14472

Vijaya, Kolli and Bommanna Lavanya. "Chemical Reaction Effects on of Nanofluid Past a Permeable Stretching Sheet with Slip Boundary Conditions and MHD Boundary Layer Flow." International Journal of Heat & Technology 40, no. 6 (2022). https://doi.org/10.18280/ijht.400622

Li, Shuguang, Kodi Raghunath, Ayman Alfaleh, Farhan Ali, A. Zaib, M. Ijaz Khan, Sayed M. ElDin and V. Puneeth. "Effects of activation energy and chemical reaction on unsteady MHD dissipative Darcy–Forchheimer squeezed flow of Casson fluid over horizontal channel." Scientific reports 13, no. 1 (2023): 2666. https://doi.org/10.1038/s41598-023-29702-w

Salah, Faisal and Abdelmgid OM Sidahmed. "Chemical Reaction and Radiation Effects on MHD Flow of Oldroyd‐B Fluid through Porous Medium Past an Exponentially Stretching Sheet with Heat Sink." Journal of Applied Mathematics 2022, no. 1 (2022): 6582295. https://doi.org/10.1155/2022/6582295

Mahabaleshwar, U. S., T. Anusha, O. Anwar Bég, Dhananjay Yadav and Thongchai Botmart. "Impact of Navier’s slip and chemical reaction on the hydromagnetic hybrid nanofluid flow and mass transfer due to porous stretching sheet." Scientific Reports 12, no. 1 (2022): 10451. https://doi.org/10.1038/s41598-022-14692-y

Singh, Khilap and Manoj Kumar. "Influence of chemical reaction on heat and mass transfer flow of a micropolar fluid over a permeable channel with radiation and heat generation." Journal of Thermodynamics 2016, no. 1 (2016): 8307980. https://doi.org/10.1155/2016/8307980

Roja, Parakapali, Thummala Sankar Reddy, Shaik Mohammed Ibrahim, Meruva Parvathi, Gurram Dharmaiah and Giulio Lorenzini. "Magnetic Field Influence on Thermophoretic Micropolar Fluid Flow over an Inclined Permeable Surface: A Numerical Study." Journal of Applied and Computational Mechanics 10, no. 2 (2024): 369-382.

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

Mabood, Fazle, W. A. Khan and AI Md Ismail. "MHD flow over exponential radiating stretching sheet using homotopy analysis method." Journal of King Saud University-Engineering Sciences 29, no. 1 (2017): 68-74. https://doi.org/10.1016/j.jksues.2014.06.001

Mandal, Iswar Chandra, Swati Mukhopadhyay and Kuppalapalle Vajravelu. "Melting heat transfer of MHD micropolar fluid flow past an exponentially stretching sheet with slip and thermal radiation." International Journal of Applied and Computational Mathematics 7 (2021): 1-18. https://doi.org/10.1007/s40819-021-00955-1

Lavanya, Bommanna and Madduleti Nagashashikala. "Effects of chemical reaction and heat generation on the unsteady free convection flow past an infinite vertical permeable moving plate with variable temperature." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 64, no. 2 (2019): 244-252.

Downloads

Published

2025-01-31

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.