Analysis of unsteady boundary layer flow of nanofluids with heat transfer over a permeable stretching/shrinking sheet via a shifted Chebyshev collocation method

Awati, Vishwanath B.; Goravar, Akash; Wakif, Abderrahim

doi:10.1080/17455030.2022.2157515

Cited by 5 publications

(3 citation statements)

References 44 publications

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“…We now present the results of the asymptotic analysis, which is given in Section 4, when the velocity of moving wedge 𝜆 is very large. The stretching sheet problem with heat transfer (54) and (55) has been solved by the exponentially decreasing series method. The solutions of Equation (54) with Equation ( 55) are remarkably in good agreement with the numerical solutions obtained using CCT.…”

Section: Resultsmentioning

confidence: 99%

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Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Joshi,

Kirsur,

Nargund

2024

Stud Appl Math

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This paper presents exact, analytical, and numerical solutions to the two‐dimensional Casson fluid boundary layer flow over a moving wedge with varying wall temperature. The boundary layer flow of the Casson fluid with varying wall temperature is governed by a system of partial differential equations called Prandtl boundary layer equations modified by Casson fluid. By applying similarity transformations the governing system of partial differential equations is reduced to a system of nonlinear ordinary differential equations called as the Falkner–Skan equation modified by Casson fluid flow with heat transfer (C‐FSEHT). In the beginning, an exact solution of the C‐FSEHT is obtained for the particular values of physical parameters (i.e., , , , see nomenclature) in terms of two standard functions, namely error function and exponential function. Thus, obtained exact solution is then modified to obtain the analytical solution of C‐FSEHT for general values of physical parameters, in terms of power series. The analysis of the asymptotic behavior of the problem, when the wedge velocity is very large (), is performed using the Dirichlet series. A comparative analysis is performed using the Chebyshev collocation technique (CCT) to validate the obtained results in all the scenarios. The effect of governing parameters, which are the Casson parameter , Hartree pressure gradient parameter , moving wedge parameter , Prandtl number , and wedge temperature parameter on the skin friction coefficient, temperature coefficient, velocity profiles, and temperature profiles is discussed in detail. Multiple solutions are found analytically for fixed values of governing parameters. The fact that an increase in the value of the Casson parameter () reduces the thickness of both velocity and temperature boundary layers, is also validated during the study.

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Section: Resultsmentioning

confidence: 99%

“…Among them, many researchers employed these methods to seek numerical solutions of various differential equations arising mainly in fluid mechanics. [53][54][55][56][57] Therefore, we obtain the approximate solutions of C-FSEHT by CCT.…”

Section: Computational Proceduresmentioning

confidence: 99%

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Joshi,

Kirsur,

Nargund

2024

Stud Appl Math

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“…The modern applications of boundary-layer theory are the calculation of friction drag of bodies e.g. a ship (Schlichting and Gersten 2016), behavior of turbulence (Mahrt 2014), Hypersonic boundary layer transition (Chen et al 2021), nanofluids boundary layer flow (Awati, Goravar, and Wakif 2022;Gangadhar et al 2020) and also magnetohydrodynamics (MHD) boundary layer flow of nanofluids analysis, especially regarding thermodynamic and heat transfer (Khashi'ie, Arifin, and Pop 2022;Rashid, Sagheer, and Hussain 2019;Reddy and Sreedevi 2021;Rashad, Chamkha, and Modather 2013). Similarity solutions of boundary layer flow are possible for some conditions (Aziz 2009).…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Non-Similar Boundary-Layer Flow Over a Cylinder

Rezaee,

Houshmand

2023

JSSCM

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This paper presents Ð° numerical solution of a non-similar two-dimensional boundary-layer flow over a cylinder. The assumptions and related two-dimensional flow equations are presented. The fourth-order Runge-Kutta method with the backward differentiation formula (BDF) method to separation point is implemented in the numerical solution using MATLAB software. Numerical solution results are compared with well-known analytic solutions. Shear stress diagram, friction ratio based on Î¸ and x, and output results are illustrated. The results of numerical solution demonstrate good consistency with analytic solutions.

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Stability analysis of magnetohydrodynamic Casson fluid flow and heat transfer past an exponentially shrinking surface by spectral approach

Awati,

Goravar,

Kumar N

et al. 2024

Case Studies in Thermal Engineering

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Analysis of unsteady boundary layer flow of nanofluids with heat transfer over a permeable stretching/shrinking sheet via a shifted Chebyshev collocation method

Cited by 5 publications

References 44 publications

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid

Numerical Solution of Non-Similar Boundary-Layer Flow Over a Cylinder

Stability analysis of magnetohydrodynamic Casson fluid flow and heat transfer past an exponentially shrinking surface by spectral approach

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