Unsteady free convective boundary layer flow of a nanofluid past a stretching surface using a spectral relaxation method

Gangadhar, K.; Kannan, T.; Sakthivel, G.; DasaradhaRamaiah, K.

doi:10.1080/01430750.2018.1472648

Cited by 45 publications

(13 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…for linear systems (19) and (20). shows that the numerical solution agrees well with the analytical solution (34).…”

Section: Initial Valuessupporting

confidence: 71%

“…in the vectors on the right hand sides of Eqs. (19) and (20). The MSRM generates a numerical solution to problem (25) which is plotted together with the analytical solution (26) in Figure 1(a).…”

Section: Entriesmentioning

confidence: 99%

“…The SRM was successfully used to solve fluid flow problems by for example Motsa [17], Motsa et al [18], Shateyi et al [19] and Gangadhar et al [20] to mention a few. In [17][18][19][20] the SRM was shown to be accurate, computationally efficient and easy to implement. Moreover, the SRM was applied only after transforming the governing partial differential differential equations to ordinary differential equations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Modified Spectral Relaxation Method for Some Emden-Fowler Equations

Marewo¹

2021

Recent Advances in Numerical Simulations

View full text Add to dashboard Cite

In this chapter, we present a modified version of the spectral relaxation method for solving singular initial value problems for some Emden-Fowler equations. This study was motivated by the several applications that these equations have in Science. The first step of the method of solution makes use of linearisation to solve the model problem on a small subinterval of the problem domain. This subinterval contains a singularity at the initial instant. The first step is combined with using the spectral relaxation method to recursively solve the model problem on the rest of the problem domain. We make use of examples to demonstrate that the method is reliable, accurate and computationally efficient. The numerical solutions that are obtained in this chapter are in good agreement with other solutions in the literature.

show abstract

“…for linear systems (19) and (20). shows that the numerical solution agrees well with the analytical solution (34).…”

Section: Initial Valuessupporting

confidence: 71%

Section: Entriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Modified Spectral Relaxation Method for Some Emden-Fowler Equations

Marewo¹

2021

Recent Advances in Numerical Simulations

View full text Add to dashboard Cite

show abstract

“…Gangadhar et al [21] studied boundary layer flow of viscous dissipation and variable suction/injection numerically. Further, Gangadhar et al [22] conducted a numerical study to produce some features about unsteady boundary layer flow of nanofluid. Later on, Gangadhar et al [23] explored some of the impacts by studying the MHD micropolar nanofluid in presence of Newtonian heating.…”

Section: Introductionmentioning

confidence: 99%

“…Subscript r is used to represent the iteration number. After improving the matrix system Eq (22). together with boundary condition (32), then solution can be obtained in the form of1 …”

mentioning

confidence: 99%

Mixed Convection Boundary Layer Flow of Non-Newtonian Nanofluid Using the Spectral Quasi Linearization

Nayak¹,

Rao²,

Gangadhar³

2020

MMEP

View full text Add to dashboard Cite

This investigation is performed for exploring the steady boundary layer flow of mixed convective boundary layer flow of non-Newtonian nanofluid over a stretchable sheet with convection heating. Eyring-Powell fluid is considered as working fluid. The impact of heat absorption/generation, Brownian motion and thermophoresis are taken into consideration. Nonlinear ordinary differential equations are derived from governing equations by utilizing the similarity transformations. To get solution SQL method is used. Accuracy of the proposed technique is checked by comparing with numerical approximations of proposed technique and with results available in literature. The study of parametric approach produces the influence of flow, heat and mass transfer processes. The outcomes of proposed study revealed that parameter of Eyring-Powell fluid ԑ reduces the velocity of the flow and thickness of the momentum buoyancy layer for both assisting and opposing flow conditions while it enhances the temperature and concentration profiles for both flow conditions.

show abstract