Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field

Khader, M. M.

doi:10.1186/s13661-018-0997-8

Cited by 3 publications

(1 citation statement)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One of the advantages of mathematical modeling of various biological phenomena is that the mathematical model is represented as a mathematical function in time and the involved parameters. Hence, in this case, we can find the exact solutions to the model and also the parameters that affect this model can be controlled appropriately (see [17] , [18] , [19] , [20] ).…”

Section: Introduction Definitions and Preliminariesmentioning

confidence: 99%

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

Srivástava

Saad

Khader

2020

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

This article investigates a family of approximate solutions for the fractional model (in the Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev spectral collocation method). We reduce the proposed epidemiological model to a system of algebraic equations with the help of the properties of the Chebyshev polynomials of the third kind. Some theorems about the convergence analysis and the existence-uniqueness solution are stated. Finally, some numerical simulations are presented for different values of the fractional-order and the other parameters involved in the coefficients. We also note that we can apply the proposed method to solve other models.

show abstract

Section: Introduction Definitions and Preliminariesmentioning

confidence: 99%

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

Srivástava

Saad

Khader

2020

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

show abstract

Unsteady MHD‐radiative thin film flow with heat transfer over a stretching surface in porous media

Gomathy,

Rushi Kumar

2024

Heat Trans

View full text Add to dashboard Cite

This study conducts a computational analysis to explore how magnetic fields, radiation, heat, and mass transfer collectively influence a horizontal stretching sheet within a porous medium. The research focuses on elucidating the dynamics of thin film flow through the formulation of time‐dependent equations and subsequent transformation of fluid flow equations into ordinary differential equations via similarity transformation. The numerical solution is attained employing the Runge–Kutta fourth‐order method coupled with a shooting technique. MATLAB software is utilized to generate graphs and numerical values, offering a detailed representation of engineering‐relevant physical quantities in tabular form. The investigation revealed notable trends associated with varying parameters. Increasing unsteadiness parameters lead to a reduction in velocity, temperature, and concentration fields, while the temperature distribution demonstrates a positive correlation with radiation parameters. Moreover, elevated Prandtl numbers and unsteadiness parameters correspond to augmented heat and mass flux, respectively. Of particular significance is the observed heightened heat transfer rate during the transition from a Prandtl number of 1 (representing air) to 2 (representing oil), alongside an increased mass transfer rate with the escalation in Schmidt number from 0.62 (representing hydrogen) to 0.78 (representing ammonia). A comparative analysis of the numerical findings with existing literature demonstrates excellent agreement, affirming the validity and relevance of the present study. These insights offer valuable implications for understanding and optimizing heat and mass transfer processes in porous media, with potential applications in various engineering and scientific domains.

show abstract

Nonlinear thermal convection on unsteady thin film flow with variable properties

Prasad

Naveenkumar

Raju

et al. 2020

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

This study portray the influence of variable viscosity, thermocapillarity, nonlinear convection, variable thermal conductivity on the laminar flow and heat transfer in a liquid film on a horizontal stretching sheet. Time dependent flow equations are transformed to coupled ordinary equations by the assistance of similarity transformation. Numerical results are obtained via applying Runge-kutta and Newton’s methods. For some representative value of the parameters graphs are exhibited and surface skin friction coefficient and heat transfer are presented in tabular form. It is observed that non-linear convection case shows higher velocity and associated boundary layer thickness compared with linear convection. Elapsed time is more in nonlinear convection for growing values of A, δ, Pr and M compared to linear convection.

show abstract

Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field

Cited by 3 publications

References 24 publications

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus

Unsteady MHD‐radiative thin film flow with heat transfer over a stretching surface in porous media

Nonlinear thermal convection on unsteady thin film flow with variable properties

Contact Info

Product

Resources

About