A Study on Heat and Flow of Viscoelastic Dielectric Liquid Over an Inclined Stretching Sheet

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Authors

  • Department of Mathematics, SJC Institute of Technology, Chickballapur – 562101, Karnataka ,IN
  • Department of Mathematics, BMS Institute of Technology and Management, Bengaluru – 560064, Karnataka ,IN
  • Department of Mathematics, BMS Institute of Technology and Management, Bengaluru – 560064, Karnataka ,IN
  • Department of Mathematics, M.S. Ramaiah Institute of Technology, Bengaluru – 560054, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2023/36048

Keywords:

Angle of Inclination, Dielectric liquid, Stretching Sheet.

Abstract

Exploring the behavior of viscoelastic dielectric liquids on an inclined stretching sheet involves a comprehensive mathematical analysis. Employing a Runge-Kutta-based shooting strategy, this study delves into the system's non-linear Ordinary Differential Equations (ODEs). The research investigates how physical parameters like the Prandtl number, dielectric interaction parameter, viscoelastic parameter, Grashof number, and angle of inclination influence both velocity and temperature. Through graphical representations, the study sheds light on the impact of these factors and compares its findings with existing data. This intriguing combination of dielectric liquid behaviour under varying inclinations holds significant potential applications in Mines, Materials, and Fuels.

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Published

2023-11-30

How to Cite

Veena, N., Abraham, A., Idicula, J. J., & Dinesh, P. A. (2023). A Study on Heat and Flow of Viscoelastic Dielectric Liquid Over an Inclined Stretching Sheet. Journal of Mines, Metals and Fuels, 71(11), 2278–2288. https://doi.org/10.18311/jmmf/2023/36048

 

References

Fisher EG. Extrusion of plastics. 3rd ed. London: Newnes-Buttterworld; 1976.

Sakiadis BC. Boundary-layer behaviour on continuous solid surfaces I: The boundary layer on equations for two-dimensional and axisymmetric flow. AIChE J. 1961; 7(1):26-28. DOI: https://doi.org/10.1002/aic.690070108

Sakiadis BC. Boundary-layer behavior on continuous solid surfaces II: The boundary layer on a continuous flat surface. AIChE J. 1961; 7(1):221-225. DOI: https://doi.org/10.1002/aic.690070211

Sakiadis BC. Boundary-layer behavior on continuous solid surfaces III: The boundary layer on a continuous cylindrical surface. AIChE J. 1961; 7(1):467-472. DOI: https://doi.org/10.1002/aic.690070325

Tsou FK, Sparrow EM, Goldstein RJ. Flow and heat transfer in the boundary layer on continuous moving surfaces. Int J Heat Mass Transfer. 1967; 10(2):219-235. DOI: https://doi.org/10.1016/0017-9310(67)90100-7

Crane LJ. Flow past a stretching plate. J Appl Math Phys (ZAMP). 1970; 21:645-647. DOI: https://doi.org/10.1007/BF01587695

Siddappa B, Subhash AM. Non-Newtonian flow past a stretching plate. Z Angew Math Phys. 1985; 36:890. DOI: https://doi.org/10.1007/BF00944900

Rajagopal KR, Na TY, Gupta AS. Flow of a viscoelastic fluid over a stretching sheet. Rheol Acta. 1984; 23:213. DOI: https://doi.org/10.1007/BF01332078

Dandapat BS, Gupta AS. Flow and heat transfer in a viscoelastic fluid over a stretching sheet. Int J Non-Linear Mech. 1989; 24(3):215. DOI: https://doi.org/10.1016/0020-7462(89)90040-1

Andersson HI. Slip flow past a stretching surface. Acta Mech. 2002; 158(1-2):121-125. DOI: https://doi.org/10.1007/BF01463174

Rollins D, Vajravelu K. Heat transfer in a second-order fluid over a continuous stretching surface. Acta Mech. 1991; 89:167. DOI: https://doi.org/10.1007/BF01171253

Kelly D, Vajravelu K, Andrews L. Analysis of heat mass transfer of a viscoelastic, electrically conducting fluid past a continuous stretching sheet. Nonlinear Anal. 1999; 36:767. DOI: https://doi.org/10.1016/S0362-546X(98)00128-X

Bhatnagar RK, Rajagopal KR, Gupta AS. Flow of an Oldroyd B model due to a stretching sheet in the presence of a free stream velocity. Int J Non-Linear Mech. 1995; 30:391. DOI: https://doi.org/10.1016/0020-7462(94)00027-8

Othman MIA. Electrohydrodynamic stability in a horizontal viscoelastic fluid layer in the presence of a vertical temperature gradient. Int J Eng Sci. 2001; 39:1217–1232. DOI: https://doi.org/10.1016/S0020-7225(00)00092-6

Siddheshwar PG, Annamma Abraham. Rayleigh- Benard Convection in a Dielectric Liquid: Imposed Time-Periodic Boundary Temperatures. Chamchuri J Math. 2009; 1(2):105-121. [Online].

Siddheshwar PG, Abraham A. Rayleigh-Benard Convection in a Dielectric liquid: Time-periodic body force. PAMM. 2008; 7(1):2100083-2100084. DOI: https://doi.org/10.1002/pamm.200701081

Siddheshwar PG, Revathi BR. Effect of Gravity Modulation on Weakly Non-Linear Stability of Stationary Convection in a Dielectric Liquid. World Acad Sci Eng Technol. 2013; 7:2013-01-23.

Annamma Abraham. Rayleigh-Benard-Marangoni Instability In A Micro-Polar Dielectric Liquid Using The Galerkin Technique. Math Sci Int Res J. 2013; 2(2):254- 258.

Titus LS, Abraham Annamma. Flow of Ferrofluid Over an Inclined Stretching Sheet in the Presence of a Magnetic Dipole. 2019. DOI: 10.1007/978-981-32-9531- 5_4.

Zeb H, Wahab HA, Khan U, Juhani ASA, Andualem M, Khan I. The Velocity Slip Boundary Condition Effects on Non-Newtonian Ferrofluid over a Stretching Sheet. Math Probl Eng. 2022; 2022. DOI: 10.1155/2022/1243333. DOI: https://doi.org/10.1155/2022/1243333

Alhadhrami A, Prasanna BM, Rajendra KC, Sarada K, Alzahrani H. Heat and Mass Transfer Analysis in Chemically Reacting Flow of Non-Newtonian Liquid with Local Thermal Non-Equilibrium Conditions: A Comparative Study. Energies. 2021; 14:5019. DOI: 10.3390/en14165019. DOI: https://doi.org/10.3390/en14165019

Saleh B, Madhukesh JK, Kumar RS Varun, Afzal A, Abdelrhman Y, Aly A, Punith Gowda RJ. Aspects of magnetic dipole and heat source/sink on the Maxwell hybrid nanofluid flow over a stretching sheet. Proc Inst Mech Eng E J Process Mech Eng. 2022. DOI: 10.1177/09544089211056243. DOI: https://doi.org/10.1177/09544089211056243

Punith Gowda RJ, Sarris I, Kumar R, Prasannakumara BC. A Three-Dimensional Non-Newtonian Magnetic Fluid Flow Induced Due to Stretching of the Flat Surface With Chemical Reaction. J Heat Transfer. 2022. DOI: 10.1115/1.4055373. DOI: https://doi.org/10.1115/1.4055373

Awucha UU, Amos E, Nwaigwe C. Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet. Theor Math Appl. 2022. DOI: 10.47260/tma/1221. DOI: https://doi.org/10.47260/tma/1221

Suraiah Palaiah S, Basha H, Reddy GJ, Sheremet MA. Magnetized Dissipative Soret Effect on Chemically Reactive Maxwell Fluid over a Stretching Sheet with Joule Heating. Coatings. 2021; 11:528. DOI: 10.3390/ coatings11050528. DOI: https://doi.org/10.3390/coatings11050528

Conductivity VT, Effects D, Jawad M. Analytical Study of MHD Mixed Convection Flow for Maxwell Nanofluid with Analytical study of MHD mixed convection flow for Maxwell nanofluid with variable thermal conductivity and Soret and Dufour effects. 2021. DOI: 10.1063/5.0029105. DOI: https://doi.org/10.1063/5.0029105

Punith Gowda RJ, Naveen Kumar R, Prasannakumara BC, Nagaraja B, Gireesha BJ. Exploring magnetic dipole contribution on ferromagnetic nanofluid flow over a stretching sheet: An application of Stefan blowing. J Mol Liquids. 2021; 335:116215. DOI: 10.1016/j.mol- liq.2021.116215. DOI: https://doi.org/10.1016/j.molliq.2021.116215

Kumar R, Jyothi A, Alhumade H, Punith Gowda RJ, Alam MM, Ahmad I, Gorji MR, Prasannakumara BC. Impact of magnetic dipole on thermophoretic particle deposition in the flow of Maxwell fluid over a stretching sheet. J Mol Liquids. 2021; 334:116494. DOI: 10.1016/j. molliq.2021.116494. DOI: https://doi.org/10.1016/j.molliq.2021.116494

Madhukesh JK, Alam MM, Varun Kumar RS, Arasaiah A, Ahmad I, Gorji MR, Prasannakumara BC. Exploring magnetic dipole impact on Maxwell hybrid nanofluid flow over a stretching sheet. Proc Inst Mech Eng E J Process Mech Eng. 2022. DOI: 10.1177/09544089211073267. DOI: https://doi.org/10.1177/09544089211073267

Shagaiya Y, Abdul Z, Ismail Z, Salah F. Thermal radiation on unsteady electrical MHD flow of nanofluid over stretching sheet with chemical reaction. J King Saud Univ Sci. 2019; 31(4):804–812. DOI: 10.1016/j. DOI: https://doi.org/10.1016/j.jksus.2017.10.002

jksus.2017.10.002. DOI: https://doi.org/10.1088/1475-7516/2017/10/002

Prasannakumara BC. Partial Differential Equations in Applied Mathematics Numerical simulation of heat transport in Maxwell nanofluid flow over a stretching sheet considering magnetic dipole effect. Partial Differential Equations in Applied Mathematics. 2021; 4:100064. DOI: 10.1016/j.padiff.2021.100064. DOI: https://doi.org/10.1016/j.padiff.2021.100064

Veena N, Dinesh PA, Annamma Abraham, Jojy Joseph Idicula. Viscoelastic dielectric liquid flow over a horizontal stretching sheet. [Online] 2023. DOI: 10.1007/ s10973-023-12480-y.

Chen CH. Laminar mixed convection adjacent to vertical, continuously stretching sheets. Heat Mass Transfer. 1998; 33:471–476. DOI: https://doi.org/10.1007/s002310050217

Grubka LJ, Bobba KM. Heat Transfer Characteristics of a Continuous, Stretching Surface with Variable Temperature. Int J Heat Mass Transfer. 1985; 107(1):248- 250. DOI: https://doi.org/10.1115/1.3247387

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