A new analytical solution of longitudinal fin with variable heat generation and thermal conductivity using DRA

Kezzar, Mohamed; Tabet, Ismail; Eid, Mohamed R.

doi:10.1140/epjp/s13360-020-00206-0

Cited by 26 publications

(12 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The physical configuration is given in Figure 1. The resulting boundary layer equations are (Eid and Mahny [11], Sarojamma et al [12] and Durgaprasad et al [18])…”

Section: Mathematical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Ganga¹,

Charles²,

Nadeem³

2021

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

The three-dimensional magnetohydrodynamic (MHD) boundary layer flow of a Casson fluid over a stretching surface set into a porous medium with variable thermal conductivity and heat generation/absorption has been researched. Conservation laws of mass, momentum and energy are changed into ordinary differential equations, which are numerically dealt with by applying the fourth order Runge-Kutta integration scheme in relationship with shooting procedure. The dimensionless velocity, temperature, skin friction coefficient and the local Nusselt number inside the boundary layer are processed and examined through tables and illustrations for various physical parameters. The numerical outcomes obtained for the specific case are sensible in great concurrence with the existing results. Results indicate that momentum boundary layer reduces for the Hartman number and Casson fluid parameter. Temperature is found as an enlightened function for the heat generation and thermal conductivity parameter.

show abstract

“…The physical configuration is given in Figure 1. The resulting boundary layer equations are (Eid and Mahny [11], Sarojamma et al [12] and Durgaprasad et al [18])…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In the literature, variable thermal conductivity towards various geometries is widely available. For instance, Sarojamma et al [11], Kezzar et al [12], Nawaz et al [13], Salahuddin et al [14], Pinarbasia et al [15], Sekhar et al [16] and Vaidya et al [17] are a few of the recent research.…”

Section: Introductionmentioning

confidence: 99%

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Ganga¹,

Charles²,

Nadeem³

2021

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

show abstract

“…Onyejekwe et al [15] delineated the impact of temperature-dependent internal heat generation within a straight fin considering temperature-dependent thermal conductivity. Kezzar et al [16] conferred internal heat production and thermal distribution through a straight fin by considering the thermal conductivity. Majhi and Kundu [17] evaluated the internal heat production and explained the thermal distribution within an annular disk.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Transient Thermal Distribution in a Convective–Radiative Moving Rod Using Two-Dimensional Differential Transform Method with Multivariate Pade Approximant

Sowmya¹,

Sarris

Vishalakshi³

et al. 2021

Symmetry

View full text Add to dashboard Cite

The transient temperature distribution through a convective-radiative moving rod with temperature-dependent internal heat generation and non-linearly varying temperature-dependent thermal conductivity is elaborated in this investigation. Symmetries are intrinsic and fundamental features of the differential equations of mathematical physics. The governing energy equation subjected to corresponding initial and boundary conditions is non-dimensionalized into a non-linear partial differential equation (PDE) with the assistance of relevant non-dimensional terms. Then the resultant non-dimensionalized PDE is solved analytically using the two-dimensional differential transform method (2D DTM) and multivariate Pade approximant. The consequential impact of non-dimensional parameters such as heat generation, radiative, temperature ratio, and conductive parameters on dimensionless transient temperature profiles has been scrutinized through graphical elucidation. Furthermore, these graphs indicate the deviations in transient thermal profile for both finite difference method (FDM) and 2D DTM-multivariate Pade approximant by considering the forced convective and nucleate boiling heat transfer mode. The results reveal that the transient temperature profile of the moving rod upsurges with the change in time, and it improves for heat generation parameter. It enriches for the rise in the magnitude of Peclet number but drops significantly for greater values of the convective-radiative and convective-conductive parameters.

show abstract

“…However, from References [35‐37], it can be seen that the effect of variable thermal conductivity is powerfully contingent on temperature, especially if there is a great temperature variance. If relatively a slight temperature variance occurs, it is certainly expected that thermal conductivity will not change, but in the presence of nanoparticles, this supposition can lead to a clear mistake 37 . Sultan et al 38 presented the mixed convective MHD flow of cross fluid over a bidirectional stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

“…In many of the research studies, the impact of variable thermal conductivity on temperature is not considered. However, from References [35][36][37], it can be seen that the effect of variable thermal conductivity is powerfully contingent on temperature, especially if there is a great temperature variance. If relatively a slight temperature variance occurs, it is certainly expected that thermal conductivity will not change, but in the presence of nanoparticles, this supposition can lead to a clear mistake.…”

Section: Introductionmentioning

confidence: 99%

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

Ibrahim

Negera

2020

Heat Trans

View full text Add to dashboard Cite

The effect of viscous dissipation and thermal radiation on mixed convective heat transfer of an MHD Williamson nanofluid past a stretching cylinder in the existence of chemical reaction is analyzed in this study. When energy equation is formulated, the variable thermal conductivity is deliberated. By proposing applicable similarity transformations, nonlinear ordinary differential equations (ODEs) are attained from partial differential equations. These nondimensional ODEs are computed through Runge‐Kutta method integrated with shooting method using MATLAB software. The results found numerically are in agreement with that of the published works of similar nature in a limiting case. The results of the local Nusselt number, skin friction coefficient, and Sherwood numbers are organized in tables. The influence of protuberant parameters on temperature, velocity, and concentration is presented by graphs. From the results, it is seen that for higher values of variable thermal conductivity parameter, the local Sherwood number and skin friction coefficient upsurge, whereas the local Nusselt number diminishes.

show abstract

A new analytical solution of longitudinal fin with variable heat generation and thermal conductivity using DRA

Cited by 26 publications

References 41 publications

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Three dimensional MHD Casson fluid flow over a stretching surface with variable thermal conductivity

Analysis of Transient Thermal Distribution in a Convective–Radiative Moving Rod Using Two-Dimensional Differential Transform Method with Multivariate Pade Approximant

Viscous dissipation effect on mixed convective heat transfer of MHD flow of Williamson nanofluid over a stretching cylinder in the presence of variable thermal conductivity and chemical reaction

Contact Info

Product

Resources

About