Numerical investigation of the unsteady solid-particle flow of a tangent hyperbolic fluid with variable thermal conductivity and convective boundary

Bibi, Madiha; Zeeshan, A.; Malik, M.Y.; Rehman, Khalil Ur

doi:10.1140/epjp/i2019-12651-9

Cited by 38 publications

(16 citation statements)

References 33 publications

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“…As shown above, D (1) � [(d (1) ij ) 1 ≤ i,j ≤ N ] and D (2) � [(d (2) ij ) 1 ≤ i,j ≤ N ] symbolize the first-and second-order differentiation matrices, respectively, I denotes the unit matrix, the set η j /1 ≤ j ≤ N highlights the modified Gauss-Lobatto collocation points, and N represents the number of collocation nodal points η j .…”

Section: Numerical Modeling Strategymentioning

confidence: 99%

“…For instance, Bilal et al [1] adopted the tangent hyperbolic rheological model to examine the characteristics of an unsteady MHD convective flow of a non-Newtonian fluid moving over a nonlinear stretching porous sheet under the combined influence of convective heating and time-dependent magnetic field in the presence of magnetized dusty particles, heat generation/absorption, and variable thermal conductivity. Similarly, Bibi et al [2] accomplished comprehensive computational estimations with the aid of the shooting technique along with the built-in MATLAB bvp4c package to handle approximatively an unsteady MHD convective flow of a tangent hyperbolic fluid conveying tiny magnetized particles over a linear stretching permeable sheet characterized by a uniform suction/injection velocity and affected by the significant effects of variable thermal conductivity, internal heat source/sink, convective heating, and time-dependent magnetic field. Otherwise, Mohebbi et al [3] utilized the power-law model to evaluate the shear-thinning and shear-thickening features of a non-Newtonian fluid by conducting a numerical investigation on a fully developed forced heat transfer convection for a laminar non-Newtonian flow confined between two parallel plates containing partially porous media in the presence of a uniform internal arrangement of circular obstacles.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Wakif

2020

Mathematical Problems in Engineering

112

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A novel mathematical computing analysis for steady magnetohydrodynamic convective flows of radiative Casson fluids moving over a nonlinearly elongating elastic sheet with a nonuniform thickness is established successfully in this numerical exploration. Also, the significance of an externally applied magnetic field with space-dependent strength on the development of MHD convective flows of Casson viscoplastic fluids is evaluated thoroughly by including the momentous influence of linear thermal radiation along with the temperature-dependent viscosity and thermal conductivity effects. By combining the assumption of the low-inducing magnetic field with the boundary layer approximations, the governing partial differential equations monitoring the current flow model are transmuted accordingly into a set of nonlinear coupled ordinary differential equations by invoking appropriate similarity transformations. Moreover, these derived differential equations are resolved numerically by utilizing a new innovative GDQLLM algorithm integrating the local linearization technique with the generalized differential quadrature method. On the other hand, the behaviours of velocity and temperature fields are deliberated properly through various graphical illustrations and different sets of flow parameters. However, the accurate datasets generated for the skin friction coefficient and local Nusselt number are presented separately in tabular displays, whose physical insights are discussed comprehensively via the slope linear regression method (SLRM). As main results, it is demonstrated that the higher values of the Casson viscoplastic parameter reduce significantly the fluid velocity within the boundary layer region, while a partial reverse tendency is observed near the stretching sheet as long as the wall thickness parameter is increased. Besides the previously mentioned hydrodynamical features, it is also depicted that the thermal field throughout the medium is enhanced considerably with the elevating values of these parameters.

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Section: Numerical Modeling Strategymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Wakif

2020

Mathematical Problems in Engineering

112

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“…The Carreau fluid model for the flow in a cylinder has been investigated by Khan et al 16 The stagnation flow of Jeffery fluid was discussed by Rehman et al 17 They remarked that the flow velocity of Jeffery fluid diminishes with magnetic field parameter. Stream of hyperbolic tangent fluid has been scrutinized by Bibi et al 18 They have shown that momentum boundary layer reduces by enhancing magnetic parameter and power law index.…”

Section: Introductionmentioning

confidence: 99%

Analysis of second law on Eyring‐Powell nanoliquid flow in a vertical microchannel considering magnetic field and convective boundary

Sindhu

Gireesha

2020

Heat Trans

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Studies related to enhancing heat transfer has attained much attention of researchers to avail optimized heat-transfer devices. High viscous fluids are of great importance as they are widely used in petroleum products, organic chemistry, coating, printing, and so forth. In this study, heat transfer mechanism driven by Eyring-Powell nanoliquid flow in a vertical microchannel is examined. Impact of considering buoyancy force, magnetic field, and convective boundary on the thermal system is demonstrated. The modeled nondimensional equations are computed by using the Runge-Kutta-Fehlberg method. The vital roles of thermophoresis and Brownian motion are discussed in detail. The significance of second law analysis for thermal systems is presented. The causes of irreversibilities in a microchannel due to Eyring-Powell nanoliquid flow is also demonstrated in the current research study. The upshots of the current investigations are visualized through graphical elucidation. It is established that minimization of entropy generation can be achieved by enhancing the mechanism of thermophoresis. The convective boundary helps in transmitting heat from the thermal system to the ambience hence the lower thermal field is attained.

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“…Nadeem et al [23] introduced the peristaltic flow of nanofluid over curved channels. Several researchers have highlighted nanofluid flow on curved channels influenced by several parameters [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Buongiorno’s Nanofluid Model over a Curved Exponentially Stretching Surface

et al. 2019

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We considered the steady flow of Buongiorno’s model over a permeable exponentially stretching channel. The mathematical model was constructed with the assumptions on curved channels. After applying the boundary layer approximation on the Navier–Stocks equation, we produced nonlinear partial differential equations. These equations were converted into a system of non-dimensional ordinary differential equations through an appropriate similarity transformation. The dimensionless forms of the coupled ordinary differential equations were elucidated numerically through boundary value problem fourth order method. This method gains fast convergence as compared to other method such as the shooting method and the Numerical Solution of Differential Equations Mathematica method. The influence of the governing parameters which are involved in ordinary differential equations are highlighted through graphs while R e s 1 / 2 C f , R e s 1 / 2 N u s , and R e s − 1 / 2 S h s are highlighted through the tables. Our interest of study was to analyze the heat transfer rate of nanofluids. Surprisingly, for momentum boundary layer thickness, thermal boundary layer thickness and solutal boundary layer thickness became larger when λ > 0 , as compared to the case when λ < 0 .

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Numerical investigation of the unsteady solid-particle flow of a tangent hyperbolic fluid with variable thermal conductivity and convective boundary

Cited by 38 publications

References 33 publications

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

Analysis of second law on Eyring‐Powell nanoliquid flow in a vertical microchannel considering magnetic field and convective boundary

Buongiorno’s Nanofluid Model over a Curved Exponentially Stretching Surface

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