Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

Motsa, S. S.; Awad, F. G.; Khumalo, M.

doi:10.1155/2014/408230

Cited by 8 publications

(10 citation statements)

References 29 publications

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“…In order to solve these unsteady, non-linear coupled Eqs. (12) to (15) under the conditions (16), an implicit finite difference scheme of Crank-Nicolson type has been employed [19]. This method has been extensively developed in recent years and remains one of the most reliable procedures for solving partial differential equation systems.…”

Section: Numerical Solutionmentioning

confidence: 99%

“…Very recently, A finite element analysis is performed the unsteady natural convection flow of a nanofluid past a vertical cone under the influence of applied magnetic field and thermal radiation by [11]. Motsa et al [12] investigated the nonlinear density temperature variations in two-dimensional nanofluid flow over heated vertical surface with a sinusoidal wall temperature. On the other hand, the impetuous research on convective flow is surveyed in the recent books by Pop and Ingham [13], Incropera and Frank and Dewitt [14], Das et al [15] and [16].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate

Vasu

Kumar

2015

Int. J. Appl. Comput. Math

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Two-dimensional transient hydrodynamic boundary layer flow of incompressible Newtonian nanofluid past a cone and plate with constant boundary conditions is investigated numerically. The Newtonian nanofluid model incorporates the effects of Brownian motion and thermophoresis. In order to solve the transformed unsteady, nonlinear coupled boundary layer equations numerically under the conditions, an implicit finite difference scheme of Crank-Nicolson type has been employed. Numerical results obtained for the velocity, temperature and nanoparticle concentration distributions, as well as the skin friction, local Nusselt number and local Sherwood number for several values of the parameters, namely the buoyancy ratio parameter, Prandtl number, Lewis number and nanofluid parameters. The dependency of the thermophysical properties has been discussed on these parameters. The results shown that the Brownian motion parameter increased, the local skin friction decreased while the local Nusselt number and local Sherwood number increased. However, they both decreased as the thermophoresis parameter increased. The approach used in optimizing the transient boundary layer heat transfer of nanofluid problems. The use of nanoparticles improve the heat transfer performance of the base fluids having poor thermophysical properties which are not able to meet the cooling rate of modern engineering equipments. Keywords Brownian motion • Thermophoresis • Nanofluid • Lewis number • Nusselt number • Cone • Plate List of symbols x, y Coordinates along the plate generator and normal to the generator respectively u, v Velocity components along the x-and y-directions respectively t Time t Dimensionless time

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Section: Numerical Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate

Vasu

Kumar

2015

Int. J. Appl. Comput. Math

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“…Many researchers have investigated linear variations in the temperature as well as density relations. The study of nonlinear variations in temperature and density relation [1][2][3][4] is a new idea to analyze the impacts of thermo-physical properties, such as temperature variations, viscous dissipation, density variations, etc. In such cases, nonlinearity plays a vital role and applications can be seen in the engineering and industrial applications.…”

Section: Introductionmentioning

confidence: 99%

“…In such cases, nonlinearity plays a vital role and applications can be seen in the engineering and industrial applications. Some of these are, for example, thermal systems, combustion, geothermal power, reactor safety, electronics cooling, solar collectors, and drying surfaces, which exhibit the nonlinearity phenomenon in temperature and density variations when operating at high temperatures [1][2][3]. The nonlinearity term has been considered in the buoyant force due to its notable physical significance on fluid flow and heat transport properties of fluids.…”

Section: Introductionmentioning

confidence: 99%

“…Vajravelu and Sastri [2] have investigated the wall heat transfer between vertical walls in presence and absence of nonlinear density temperature variations. Motsa et al [3] have investigated the impact of nonlinear temperature as well as density variations on nanoliquid flow over the convective vertical surface. In the work of [3], the governing nonlinear PDE's are numerically solved by the spectral linearization technique and their results reveal that higher values of thermophoresis parameter and nonlinear temperature enhance the magnitude of the velocity profile.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear mixed convective nanofluid flow along moving vertical rough plate

Patil

Kulkarni

2020

Rev. Mex. Fís.

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The objective of the current research paper is to investigate the effects of surface roughness on magnetohydrodynamic nonlinear mixed convection nanofluid flow over vertically moving plate. The highly coupled dimensional nonlinear partial differential equations (NPDE) are converted into dimensionless NPDE along with the boundary conditions with the help of non-similar transformations. The resulting set of dimensionless nonlinear PDE’s are solved by using Quasilinearization technique and implicit finite difference method. Impacts of various dimensionless parameters, namely, Brownian diffusion (Nb), nonlinear mixed convection ( ), nanoparticle buoyancy ratio (Nr), Lewis number (Le), thermophoresis (Nt), frequency (n), magnetic (M) and small parameter ( ) are studied in detail on profiles as well as gradients. The results reveal that increasing values of increase the velocity profile, while increasing values of Nr decrease the same. Further, increasing values of and n exhibit sinusoidal variations on skin-friction coefficient, heat and nanoparticle mass transfer rates. Moreover, the presence of nonlinear mixed convection parameter has significant effects on fluid flow compared to its absence. In addition to this, rate of heat transfer is analyzed in presence and absence of nanoparticles.

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Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

Oyelakin

Sibanda

2021

AIChE Journal

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This study discusses the impact of the nonlinear relationship between nonlinear density-temperature and density-concentration on a nanofluid flow with Arrhenius activation energy and sinusoidal wall temperature variations. The highly nonlinear partial differential equations that model the nanofluid flow are solved using the bivariate spectral local linearization method. In literature, it is known that certain thermal systems perform better at high temperatures. This performance may be influenced by the nonlinear temperature-concentration-dependent density relation, which accounts for optimal thermal and solutal transport in such systems. This study explores the impact of some physical parameters on the fluid transport properties, and the results show, among other findings, that the nonlinear density-temperature leads to increased fluid velocity. In contrast, the nonlinear density-concentration reduces the fluid speed. This study provides new insights into the impact of nonlinear density-temperature and density-concentration on fluid properties. Additionally, there is a development of destructive chemical reactions in the nanoparticle volume fraction profiles due to the Arrhenius activation energy.

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Nonlinear Nanofluid Flow over Heated Vertical Surface with Sinusoidal Wall Temperature Variations

Cited by 8 publications

References 29 publications

Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate

Transient Boundary Layer Laminar Free Convective Flow of a Nanofluid Over a Vertical Cone/Plate

Nonlinear mixed convective nanofluid flow along moving vertical rough plate

Numerical study of a nonlinear density relation and binary reaction on nanofluid flow over a heated vertical surface with sinusoidal wall temperature

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