• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Muntz − Legendre Wavelet Operational Matrix Method to Compute a Numerical Solution for Thermal Radiation Effect on Natural Convection Boundary Layer Flow past a Vertical Plate Embedded in a Saturated Porous Medium
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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i48.1619

Year: 2022, Volume: 15, Issue: 48, Pages: 2777-2790

Original Article

Muntz − Legendre Wavelet Operational Matrix Method to Compute a Numerical Solution for Thermal Radiation Effect on Natural Convection Boundary Layer Flow past a Vertical Plate Embedded in a Saturated Porous Medium

 

S C Shiralashetti 1,∗, E Harishkumar 1, S I Hanaji 2 

 

1 Department of Mathematics, Karnatak University, Dharwad, 580003, Karnataka, India
2 Department of Mathematics, Dr. M. S. Sheshgiri College of Engineering and Technology, Belagavi, 590008, Karnataka, India 

*Corresponding author email: [email protected]

Received Date:05 August 2022, Accepted Date:04 November 2022, Published Date:21 December 2022

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

 

Objectives: In this present framework, heat transfer of the thermal radiation effect on natural convection around a vertical permeable flat surface immersed in a saturated porous medium has been investigated by considering the thermal radiation effect. Methods: The governing partial differential equations of the considered problem are converted to the nonlinear ordinary differential equations over the infinite domain with the aid of similarity transformations. In order to analyze the thermal radiation, the Mu ̈ntz − Legendre wavelet operational matrix method has been considered to solve the corresponding nonlinear ordinary differential equation. Findings: To check the efficiency of the proposed strategy, the third-order nonlinear boundary value problem having the exact solution is considered a test problem. Also, the obtained findings are compared with the findings of the Haar wavelet operational matrix method. Novelty: The three physical parameters of temperature exponent λ thermal radiation Rd, and Injection/suction fm on vertical velocity and temperature profiles are demonstrated and discussed graphically. Also, the comparison ofthe Mu ̈ntz−Legendre wavelet operational matrix method results with Haar wavelet operational matrix method results ensure that the solutions obtained by Mu ̈ntz−Haar wavelet operational matrix method results.

Keywords: Muntz-legendre wavelet; Operational matrix; Natural convection; Thermal radiation; Saturated porous medium; Suction/Injection 

References

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Copyright

© 2022 Shiralashetti et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)

  • 06 March 2023

Year: 2022, Volume: 15, Issue: 48

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