Mathematical Model for MHD Micropolar fluid in with Chemical Reaction towards an Exponential Curved Surface

Authors

  • Ch.Srinivasulu Department of Mathematics, Government College (A), Rajahmundry, East Godavari District-533105, Andhra Pradesh, India
  • D.V.N.S.R.Murthy Department of Mathematics, Adikavi Nannaya University, Rajahmundry, East Godavari District-533296, Andhra Pradesh, India
  • P.R.Sobhana Babu Freshmen Engineering Department, Ramachandra college of Engineering, Eluru-534007, Andhra Pradesh, India
  • srinivas Diddi Department of Mathematics, Aditya College of Engineering & Technology, Surampalem, Kakinada-533437, Andhra Pradesh, India
  • A.Kiran Kumar Department of Mathematics, SRKR Engineering College, China Amiram, Bhimavaram-534204, Andhra Pradesh, India
  • N.Ravindra Freshmen Engineering Department, Ramachandra college of Engineering, Eluru-534007, Andhra Pradesh, India

DOI:

https://doi.org/10.37934/cfdl.17.2.1742

Keywords:

Mixed convection, viscous Dissipation, Joule heating, chemical reaction, Keller Box method

Abstract

The current article delineates the aspects of MHD Micropolar fluid flow with chemical reaction towards an exponentially stretchable curved surface. Aspects of heat transmission are delineated by incorporating joule heating and thermal radiation and viscous Dissipation. To frame the mathematical model, curvilinear co-ordinates are employed. Similarity variables are deployed to transfigure the flow modelling PDE’s into ODE’s. A familiar numerical approach namely Keller box method is operated to resolve the resultant ODE’s. Influence of diverse parameters such as material parameter, curvature parameter, magnetic parameter and chemical reaction parameter has been scrutinized via graphical way. Velocity  and Microrotation velocity  exhibits unlike nature for magnetic parameter .Temperature exhibits similar response according to variations in   , and .Temperature exhibits alike functioning according to variations in ,  and .Concentration  exhibits improvement for variations in and  while it decreases for variations in , Sc and .An adequate resemblance has been detected with existing results.

Downloads

Download data is not yet available.

Author Biographies

Ch.Srinivasulu , Department of Mathematics, Government College (A), Rajahmundry, East Godavari District-533105, Andhra Pradesh, India

srinuchittaru@gcrjy.ac.in

D.V.N.S.R.Murthy , Department of Mathematics, Adikavi Nannaya University, Rajahmundry, East Godavari District-533296, Andhra Pradesh, India

dvnsmurthy@gcrjy.ac.in

P.R.Sobhana Babu , Freshmen Engineering Department, Ramachandra college of Engineering, Eluru-534007, Andhra Pradesh, India

ratas28@rcee.ac.in

srinivas Diddi, Department of Mathematics, Aditya College of Engineering & Technology, Surampalem, Kakinada-533437, Andhra Pradesh, India

srinurit@gmail.com

A.Kiran Kumar, Department of Mathematics, SRKR Engineering College, China Amiram, Bhimavaram-534204, Andhra Pradesh, India

kirankumarappana@gmail.com

N.Ravindra, Freshmen Engineering Department, Ramachandra college of Engineering, Eluru-534007, Andhra Pradesh, India

nravindraau@rcee.ac.in

References

Ariman, T. M. A. N. D., M. A. Turk, and N. D. Sylvester. "Microcontinuum fluid mechanics—a review." International Journal of Engineering Science 11, no. 8 (1973): 905-930. https://doi.org/10.1016/0020-7225(73)90038-4

Khonsari, M. M., and D. E. Brewe. "On the performance of finite journal bearings lubricated with micropolar fluids." Tribology Transactions 32, no. 2 (1989): 155-160. https://doi.org/10.1080/10402008908981874

Khonsari, M. M. "On the self-excited whirl orbits of a journal in a sleeve bearing lubricated with micropolar fluids." Acta Mechanica 81, no. 3 (1990): 235-244. https://doi.org/10.1007/BF01176991

Eringen, A. Cemal. "Theory of micropolar fluids." Journal of mathematics and Mechanics (1966): 1-18.

Eringen, A. Cemal. "Theory of thermomicrofluids." Journal of Mathematical analysis and Applications 38, no. 2 (1972): 480-496. https://doi.org/10.1016/0022-247X(72)90106-0

Hassanien, I. A., and R. S. R. Gorla. "Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing." Acta Mechanica 84 (1990): 191-199. https://doi.org/10.1007/BF01176097

Takhar, Harmindar S., R. S. Agarwal, Rama Bhargava, and S. Jain. "Mixed convection flow of a micropolar fluid over a stretching sheet." Heat and Mass Transfer 34, no. 2 (1998): 213-219. https://doi.org/10.1007/s002310050252

Eldabe, Nabil T., E. F. Elshehawey, Elsayed ME Elbarbary, and Nasser S. Elgazery. "Chebyshev finite difference method for MHD flow of a micropolar fluid past a stretching sheet with heat transfer." Applied Mathematics and Computation 160, no. 2 (2005): 437-450. https://doi.org/10.1016/j.amc.2003.11.013

Gangadhar, Kata, T. Kannan, and P. Jayalakshmi. "Magnetohydrodynamic micropolar nanofluid past a permeable stretching/shrinking sheet with Newtonian heating." Journal of the Brazilian Society of Mechanical Sciences and Engineering 39, no. 11 (2017): 4379-4391. http://dx.doi.org/10.1007/s40430-017-0765-1

Gangadhar, K., P. R. Sobhana Babu, and M. Venkata Subba Rao. "Microstructure and inertial characteristic of a magnetite Ferro fluid over a stretched sheet embedded in a porous medium with viscous dissipation using the spectral quasi-linearisation method." International Journal of Ambient Energy 42, no. 7 (2021): 769-778. https://doi.org/10.1080/01430750.2018.1563823

Gangadhar, Kotha, Damerla Vijayakumar, Ali J. Chamkha, Thangavelu Kannan, and Gnanasekaran Sakthivel. "Effects of Newtonian heating and thermal radiation on micropolar ferrofluid flow past a stretching surface: spectral quasi‐linearization method." Heat Transfer 49, no. 2 (2020): 838-857. https://doi.org/10.1002/htj.21641

Hussanan, Abid, Ilyas Khan, Waqar A. Khan, and Zhi-Min Chen. "Micropolar mixed convective flow with Cattaneo-Christov heat flux: Non-Fourier heat conduction analysis." Thermal Science 24, no. 2 Part B (2020): 1345-1356. https://doi.org/10.2298/TSCI181220167H

Zadeh, Seyed Mohsen Hashem, S. A. M. Mehryan, Mikhail A. Sheremet, Mohsen Izadi, and Maryam Ghodrat. "Numerical study of mixed bio-convection associated with a micropolar fluid." Thermal Science and Engineering Progress 18 (2020): 100539. https://doi.org/10.1016/j.tsep.2020.100539

Singh, Khilap, Alok Kumar Pandey, and Manoj Kumar. "Slip flow of micropolar fluid through a permeable wedge due to the effects of chemical reaction and heat source/sink with Hall and ion-slip currents: an analytic approach." Propulsion and Power Research 9, no. 3 (2020): 289-303. https://doi.org/10.1016/j.jppr.2020.04.006

Fatunmbi, Ephesus Olusoji, Hammed Abiodun Ogunseye, and Precious Sibanda. "Magnetohydrodynamic micropolar fluid flow in a porous medium with multiple slip conditions." International Communications in Heat and Mass Transfer 115 (2020): 104577. https://doi.org/10.1016/j.icheatmasstransfer.2020.104577

Kumar, Ravindra, Jagdev Singh, Ruchika Mehta, Devendra Kumar, and Dumitru Baleanu. "Analysis of the impact of thermal radiation and velocity slip on the melting of magnetic hydrodynamic micropolar fluid-flow over an exponentially stretching sheet." (2023). https://doi.org/10.2298/TSCI23S1311K

Nadeem, S., Asma Amin, and Nadeem Abbas. "On the stagnation point flow of nanomaterial with base viscoelastic micropolar fluid over a stretching surface." Alexandria Engineering Journal 59, no. 3 (2020): 1751-1760. https://doi.org/10.1016/j.aej.2020.04.041

Fuzhang, Wang, Muhammad Imran Anwar, Mohsin Ali, A. S. El-Shafay, Nadeem Abbas, and Rifaqat Ali. "Inspections of unsteady micropolar nanofluid model over exponentially stretching curved surface with chemical reaction." Waves in random and complex media (2022): 1-22. https://doi.org/10.1080/17455030.2021.2025280

Goud, B. Shankar. "Heat generation/absorption influence on steady stretched permeable surface on MHD flow of a micropolar fluid through a porous medium in the presence of variable suction/injection." International Journal of Thermofluids 7 (2020): 100044. https://doi.org/10.1016/j.ijft.2020.100044.

Bejawada, Shankar Goud, Zafar Hayat Khan, and Muhammad Hamid. "Heat generation/absorption on MHD flow of a micropolar fluid over a heated stretching surface in the presence of the boundary parameter." Heat Transfer 50, no. 6 (2021): 6129-6147. https://doi.org/10.1002/htj.22165.

Goud, B. Shankar, and Mahantesh M. Nandeppanavar. "Ohmic heating and chemical reaction effect on MHD flow of micropolar fluid past a stretching surface." Partial Differential Equations in Applied Mathematics 4 (2021): 100104. https://doi.org/10.1016/j.padiff.2021.100104

Bejawada, Shankar Goud, and Mahantesh M. Nandeppanavar. "Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate." Experimental and Computational Multiphase Flow 5, no. 2 (2023): 149-158. https://doi.org/10.1007/s42757-021-0131-5

Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21 (1970): 645-647. https://doi.org/10.1007/BF01587695

Sajid, M., N. Ali, T. Javed, and Z. Abbas. "Stretching a curved surface in a viscous fluid." Chinese Physics Letters 27, no. 2 (2010): 024703. https://doi.org/10.1088/0256-307X/27/2/024703

Roşca, Natalia C., and Ioan Pop. "Unsteady boundary layer flow over a permeable curved stretching/shrinking surface." European Journal of Mechanics-B/Fluids 51 (2015): 61-67. https://doi.org/10.1016/j.euromechflu.2015.01.001

Naveed, Muhammad, Zaheer Abbas, and Muhammad Sajid. "MHD flow of micropolar fluid due to a curved stretching sheet with thermal radiation." Journal of Applied Fluid Mechanics 9, no. 1 (2015): 131-138. http://dx.doi.org/10.18869/acadpub.jafm.68.224.23967

Abbas, Z., M. Naveed, and M. Sajid. "Hydromagnetic slip flow of nanofluid over a curved stretching surface with heat generation and thermal radiation." Journal of Molecular Liquids 215 (2016): 756-762. https://doi.org/10.1016/j.molliq.2016.01.012

Okechi, N. F., M. Jalil, and S. Asghar. "Flow of viscous fluid along an exponentially stretching curved surface." Results in Physics 7 (2017): 2851-2854. https://doi.org/10.1016/j.rinp.2017.07.059

Hayat, Tasawar, Farwa Haider, Taseer Muhammad, and Ahmed Alsaedi. "Numerical study for Darcy-Forchheimer flow of nanofluid due to an exponentially stretching curved surface." Results in physics 8 (2018): 764-771. https://doi.org/10.1016/j.rinp.2018.01.010

Jawad, Muhammad, Anwar Saeed, Taza Gul, and Arshad Khan. "The magnetohydrodynamic flow of a nanofluid over a curved exponentially stretching surface." Heat Transfer 50, no. 6 (2021): 5356-5379. https://doi.org/10.1002/htj.22127

Qian, Wei-Mao, M. Ijaz Khan, Faisal Shah, Mair Khan, Yu-Ming Chu, Waqar A. Khan, and Mubbashar Nazeer. "Mathematical modeling and MHD flow of micropolar fluid toward an exponential curved surface: heat analysis via ohmic heating and heat source/sink." Arabian Journal for Science and Engineering 47, no. 1 (2022): 867-878. https://doi.org/10.1007/s13369-021-05673-w

Gowda, RJ Punith, Fahad S. Al-Mubaddel, R. Naveen Kumar, B. C. Prasannakumara, Alibek Issakhov, Mohammad Rahimi-Gorji, and Yusuf A. Al-Turki. "Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model." Chaos, Solitons & Fractals 145 (2021): 110774. https://doi.org/10.1016/j.chaos.2021.110774

Saeed, Anwar, Wajdi Alghamdi, Safyan Mukhtar, Syed Imad Ali Shah, Poom Kumam, Taza Gul, Saleem Nasir, and Wiyada Kumam. "Darcy-Forchheimer hybrid nanofluid flow over a stretching curved surface with heat and mass transfer." Plos one 16, no. 5 (2021): e0249434. https://doi.org/10.1371/journal.pone.0249434

Ramzan, Muhammad, Nosheen Gul, Jae Dong Chung, Seifedine Kadry, and Yu-Ming Chu. "Numerical treatment of radiative Nickel–Zinc ferrite-Ethylene glycol nanofluid flow past a curved surface with thermal stratification and slip conditions." Scientific Reports 10, no. 1 (2020): 16832. https://doi.org/10.1038/s41598-020-73720-x

Ramzan, Muhammad, Nazia Shahmir, Hassan Ali S. Ghazwani, Yasser Elmasry, and Seifedine Kadry. "A numerical study of nanofluid flow over a curved surface with Cattaneo–Christov heat flux influenced by induced magnetic field." Numerical Heat Transfer, Part A: Applications 83, no. 2 (2023): 197-212. https://doi.org/10.1080/10407782.2022.2144976

Alotaibi, Hammad, and Muhammad Ramzan. "Comparative study of hybrid and nanofluid flows over an exponentially stretched curved surface with modified Fourier law and dust particles." Waves in Random and Complex Media 32, no. 6 (2022): 3053-3073. https://doi.org/10.1080/17455030.2022.2049925

Maheswari, Chundru, Ravuri Mohana Ramana, Shaik Mohiddin Shaw, G. Dharmaiah, and S. Noeiaghdam. "Numerical investigation on MHD forchheimer flow of Fe3O4− H2O, Cu− H2O and Ag− H2O nanofluids over permeable stretching sheet with radiation." Results in Engineering 18 (2023): 101194. https://doi.org/10.1016/j.rineng.2023.101194

Guled, C. N., J. V. Tawade, P. Kumam, S. Noeiaghdam, I. Maharudrappa, S. M. Chithra, and V. Govindan. "The heat transfer effects of MHD slip flow with suction and injection and radiation over a shrinking sheet by optimal homotopy analysis method." Results in Engineering 18 (2023): 101173. https://doi.org/10.1016/j.rineng.2023.101173

Dharmaiah, G., JL Rama Prasad, K. S. Balamurugan, I. Nurhidayat, Unai Fernandez-Gamiz, and Samad Noeiaghdam. "Performance of magnetic dipole contribution on ferromagnetic non-Newtonian radiative MHD blood flow: An application of biotechnology and medical sciences." Heliyon 9, no. 2 (2023). https://doi.org/10.1016/j.heliyon.2023.e13369

Arulmozhi, S., K. Sukkiramathi, Shyam Sundar Santra, R. Edwan, Unai Fernandez-Gamiz, and Samad Noeiaghdam. "Heat and mass transfer analysis of radiative and chemical reactive effects on MHD nanofluid over an infinite moving vertical plate." Results in Engineering 14 (2022): 100394. https://doi.org/10.1016/j.rineng.2022.100394

Suneetha, Bingi, Ramachandra Reddy Vaddemani, Damodara Reddy Annapureddy, and Giulio Lorenzini. "Heat and Mass Transfer Characteristics of Mixed Convection MHD Flow with the Impacts of Hall Current and Diffusion Thermo in the Presence of Brownian Motion and Thermophoresis." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 115, no. 1 (2024): 51-68. https://doi.org/10.37934/arfmts.115.1.5168

Chintalapudi, Ravikiran, Halesh Koti, B. Shashidar Reddy, and K. Saritha. "Mechanisms of Diffusion thermo and Thermal diffusion on MHD Mixed Convection Flow of Casson fluid over a vertical cone with porous material in the presence of thermophoresis and a Brownian motion." Journal of Advanced Research in Numerical Heat Transfer 17, no. 1 (2024): 29-43. https://doi.org/10.37934/arnht.17.1.2943

Bestman, A. R. "Natural convection boundary layer with suction and mass transfer in a porous medium." International journal of energy research 14, no. 4 (1990): 389-396. https://doi.org/10.1002/er.4440140403

Sajid, M., N. Ali, T. Javed, and Z. Abbas. "Stretching a curved surface in a viscous fluid." Chinese Physics Letters 27, no. 2 (2010): 024703.

Hayat, T., Ikram Ullah, B. Ahmad, and A. Alsaedi. "Radiative flow of Carreau liquid in presence of Newtonian heating and chemical reaction." Results in Physics 7 (2017): 715-722. https://doi.org/10.1016/j.rinp.2017.01.019

Hayat, Tasawar, Rai Sajjad Saif, Rahmat Ellahi, Taseer Muhammad, and Bashir Ahmad. "Numerical study for Darcy-Forchheimer flow due to a curved stretching surface with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions." Results in physics 7 (2017): 2886-2892. https://doi.org/10.1016/j.rinp.2017.07.068

Hayat, Tasawar, Sumaira Qayyum, Ahmed Alsaedi, and Bashir Ahmad. "Entropy generation minimization: Darcy-Forchheimer nanofluid flow due to curved stretching sheet with partial slip." International Communications in Heat and Mass Transfer 111 (2020): 104445. https://doi.org/10.1016/j.icheatmasstransfer.2019.104445

Ahmad, Latif, Ali Saleh Alshomrani, and Masood Khan. "Radiation and mixed convection effects on chemically reactive sisko fluid flow over a curved stretching surface." Iranian Journal of Chemistry and Chemical Engineering 39, no. 4 (2020): 339-354. https://doi.org/10.30492/ijcce.2020.89211.3174

Manjunatha, P. T., Ali J. Chamkha, R. J. Punith Gowda, R. Naveen Kumar, B. C. Prasannakumara, and Shraddha M. Naik. "Significance of stefan blowing and convective heat transfer in nanofluid flow over a curved stretching sheet with chemical reaction." Journal of Nanofluids 10, no. 2 (2021): 285-291. https://doi.org/10.1166/jon.2021.1786

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.

Jalili, Payam, Ali Ahmadi Azar, Bahram Jalili, and Davood Domiri Ganji. "Study of nonlinear radiative heat transfer with magnetic field for non-Newtonian Casson fluid flow in a porous medium." Results in Physics 48 (2023): 106371. https://doi.org/10.1016/j.rinp.2023.106371

Yanala, Dharmendar Reddy, M. Anil Kumar, Shankar Goud Bejawada, Kottakkaran Sooppy Nisar, R. Srinivasa Raju, and V. Srinivasa Rao. "Exploration of heat and mass transfer on 3-D radiative MHD Casson fluid flow over a stretching permeable sheet with chemical reaction." Case Studies in Thermal Engineering 51 (2023): 103527. https://doi.org/10.1016/j.csite.2023.103527

Reddy, Y. Dharmendar, and Ippa Mangamma. "Numerical approach of Fe3O4-ethylene glycol heat and mass transfer magneto nanofluid flow past a porous shrinking sheet with chemical reaction and thermal radiation." Journal of Thermal Analysis and Calorimetry 148, no. 22 (2023): 12639-12668. https://doi.org/10.1007/s10973-023-12463-z

Yanala, Dharmendar Reddy, Shankar Goud Bejawada, and Kottakkaran Sooppy Nisar. "Influence of chemical reaction and heat generation/absorption on unsteady magneto Casson nanofluid flow past a non-linear stretching Riga plate with radiation." Case Studies in Thermal Engineering 50 (2023): 103494. https://doi.org/10.1016/j.csite.2023.103494

Reddy, Yanala Dharmendar, and Ippa Mangamma. "Significance of radiation and chemical reaction on MHD heat transfer nanofluid flow over a nonlinearly porous stretching sheet with nonuniform heat source." Numerical Heat Transfer, Part A: Applications (2023): 1-27. https://doi.org/10.1080/10407782.2023.2230356

Khan, Muhammad N., Sohail Nadeem, Nadeem Abbas, and A. M. Zidan. "Heat and mass transfer investigation of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface." Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 235, no. 6 (2021): 2189-2200. https://doi.org/10.1177/09544089211034941

Azam, Muhammad, Nadeem Abbas, K. Ganesh Kumar, and Samad Wali. "Transient bioconvection and activation energy impacts on Casson nanofluid with gyrotactic microorganisms and nonlinear radiation." Waves in Random and Complex Media (2022): 1-20. https://doi.org/10.1080/17455030.2022.2078014.

Keller, Herbert B. "A new difference scheme for parabolic problems." In Numerical solution of partial differential equations–II, pp. 327-350. Academic Press, 1971. https://doi.org/10.1016/B978-0-12-358502-8.50014-1

Downloads

Published

2024-09-30

How to Cite

Ch.Srinivasulu , C. ., D.V.N.S.R.Murthy , D. ., P.R.Sobhana Babu , P. B. ., Diddi, srinivas, Kumar, A., & N.Ravindra, N. (2024). Mathematical Model for MHD Micropolar fluid in with Chemical Reaction towards an Exponential Curved Surface. CFD Letters, 17(2), 17–42. https://doi.org/10.37934/cfdl.17.2.1742

Issue

Section

Articles