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Your search keyword '"Rai, S. N."' showing total 263 results
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263 results on '"Rai, S. N."'

4. Heat/mass transport in walter-B nanoliquid filled in hele-shaw cell under 3-types of g-Jitters with magnetic field.

Author

Rai, S. N. and Bhadauria, B. S.

Subjects
*MAGNETIC fields, *NANOSATELLITES, *INDEPENDENT sets
Abstract

The impact of sine, square and triangular wave-forms of g-Jitter (gravity-modulation) in Walter-B nanoliquid (electrically-conducting) filled in Hele-Shaw cell with magnetic-field effect is considered in this article. The applied gravity field contains constant and time-dependent periodic parts, which change sinusoidally over time. A local nonlinear idea has been utilized to study heat/mass transportation in the liquid layer. The method for determining the heat/mass transportation factor in-volves developing a set of independent simultaneous ODEs for the convective magnitude. The Runge-Kutta-Fehlberg approach is used to confirm the findings of this convective magnitude calculation, which was done with the use of Mathematica's built-in tool NDSolve. The Nusselt-number is found in terms of numerous system parameters, and every parameter's consequence on heat/mass transportation is described in detail. The influence of elastic parameter, nanoliquid Prandtl-number, and amplitude of g-Jitter is to increase heat/mass transportation while the Hele-Shaw number, nanoliquid magnetic number, and frequency of g-Jitter have stabilizing influence on the system. Moreover, it is found that g-Jitter can be utilised effectively to increase or decrease heat/mass transportation. [ABSTRACT FROM AUTHOR]

Published
2024
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9. Study of nonlinear time-fractional hyperbolic-like equations with variable coefficients via semi-analytical technique: Differential -transform method.

Author

Singh, Brajesh Kumar, Kumar, A., Rai, S. N., and Prakasha, D. G.

Subjects
NONLINEAR wave equations, INTEGRAL transforms, WAVE equation, EQUATIONS
Abstract

This work proposes a semi-analytical new hybrid approach, so-called differential -transform method (D TM), to evaluate the behavior of n-space dimensional fractional-nonlinear hyperbolic-like wave equations, where time-fractional derivative is considered in Caputo format. The D TM is the hybrid method in which projected differential transform is implemented after imposing the recently introduced integral transform, i.e., so-called transform [W. Zhao and S. Maitama, J. Appl. Anal. Comput. 10, 1223 (2020)]. The efficiency and applicability of the proposed D TM had been tested by considering three different test examples of the Caputo time-fractional nonlinear hyperbolic-like wave equations in terms of absolute error norms, and the different order D TM solutions are compared with exact solution behaviors and the existing results, for the large time level τ ∈ [ 0 , 1 0 ]. In addition, the convergence analysis of D TM is studied theoretically and verified it numerically as well as graphically, which confirms that the numerical experiments via D TM for distinct fractional orders support the theoretical findings excellently, and the presented D TM results converge to their exact solution behavior, very fast. The evaluated series approximations are expressed in the compact form of Mittag-Leffler functions. [ABSTRACT FROM AUTHOR]

Published
2024
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