Lie Group Analysis and Numerical Solutions for Magnetoconvective Slip Flow along a Moving Chemically Reacting Radiating Plate in Porous Media with Variable Mass Diffusivity

Uddin, Md. Jashim; Khan, W. A.; Ismail, Ahmad Izani Md.

doi:10.1002/htj.21161

Cited by 4 publications

(3 citation statements)

References 49 publications

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“…Kameswaran et al [46] have investigated the effects of homogeneous-heterogeneous reaction in nanofluid flow over a porous stretching sheet. A numerical analysis of magnetoconvective boundary layer slip flow along a non-isothermal continuously moving permeable nonlinear radiating plate in Darcian porous media with chemical reaction have investigated by Uddin et al [47]. Rashidi et al [48] employed optimal homotopy analysis method (OHAM) to study the free convective flow of a nanofluid past a chemically reacting horizontal plate in porous media.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

Srinivas

Vijayalakshmi

Reddy

et al. 2016

Propulsion and Power Research

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In the present investigation, an analytical analysis has been carried out to study the influence of chemical reaction on MHD flow of a nanofluid in an expanding or contracting porous pipe in the presence of heat source/sink. The pipe wall expands or contracts uniformly at a time dependent rate. Similarity transformations have been invoked to reduce the governing flow equations into coupled nonlinear ordinary differential equations. An analytical approach, namely the homotopy analysis method (HAM) is employed to obtain the analytical solutions of the ordinary differential equations. The convergence of the obtained series solutions is analyzed. The effects of various physical parameters such as wall expansion ratio, Brownian motion parameter, thermophoresis parameter, Lewis number, chemical reaction parameter and heat source/sink parameter on flow variables have been discussed. Further, for the case of hydrodynamic viscous fluid, we find a good agreement between the HAM solutions and solutions already reported in the literature.

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Section: Introductionmentioning

confidence: 99%

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

Srinivas

Vijayalakshmi

Reddy

et al. 2016

Propulsion and Power Research

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“…Kameswaran et al [33] investigated uniform and heterogeneous chemical reactions across a porous stretching surface. The MHD laminar BLF, with a slip impact over a stretched permeable surface with chemical reactions, was numerically explored by Uddin et al [34]. For free convection flow (FCF) across a horizontal surface containing nanofluids, an analytical solution was discovered [35].…”

Section: Introductionmentioning

confidence: 99%

Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability

et al. 2023

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The laminar movement in an expanding and contracting permeable pipe or surface has recently attracted the attention of many scholars owing to its application in engineering and biological processes. The objective of the current study is to examine the influence of chemical processes on magnetized nanofluid flow over extending or shrinking permeable pipes with a heat reservoir. The flow equations are renovated into first ODEs by introducing the new variable and then numerically solved by RK4 with a shooting procedure. The effect of emerging factors on the flow features is observed using graphs and elaborated in detail. From the analysis, the temperature is raised when the heat source is increased in both cases of wall expansion or contraction but declines in the case of heat sinks. In the case of a heat source, the temperature rises as the Hartmann and Prandtl numbers are enhanced, but in the case of a heat sink, the temperature falls. In the presence of heat sinks and injections, when the thermophoresis factor is increased, the concentration of nanoparticles is increased in both wall expansion and contractions. In both situations of wall extension or contraction, along with injection, the concentration of nanoparticles is a decreasing function of Nb, while the concentration of nanoparticles is an increasing function in the case of a heat source. Additionally, for the confirmation of the RK4 code, the total average square residue error and average square residue error are also presented. For the stability analysis, the current work is compared with published work, and excellent agreement is established. The novelty of the present study is to investigate the effect of chemical reaction on magnetized nanofluid flow over extending and shrinking porous pipes with heat generation and absorption.

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“… 43 The physical procedures for Maxwell fluid were analyzed by Hayat and Abbas 44 Abdul et al 45 used the BLF to examine chemical reactions occurring on a flexible sheet containing NF. The homogeneous and heterogeneous chemical processes over the permeable stretching surface were studied by Kameswaran et al 46 The magnetized convection BLF with slippage impact across a stretched permeable plate was analyzed numerically by Uddin et al 47 in the context of chemical reactions. For NFs flowing freely across a horizontal plane, an analytical solution was found for free convection movement (FCF).…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of magnetized nanofluid flow over extending and contracting pipe with heat source and chemical reaction: Error estimation and stability analysis

Zeeshan

Islam

2023

Science Progress

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The aim of the current study is to examine the magnetohydrodynamic (MHD) flow over the permeable pipe containing the nanoparticles with a heat transport mechanism. The leading equations of flow are obtained in terms of partial differential equations (PDEs). The suitable transformation is applied to alter PDEs to ordinary differential equations (ODEs) and solved numerically via the RK4 method. The novelty of the current work is to investigate the MHD nanofluid overextending and shrinking pipe enclosing the chemical reaction with a heat reservoir. The outcomes of different factors are depicted through graphs and tables on the flow phenomena. It is observed that for both situations of wall extension or contraction with injection, the temperature is the increasing function of the thermophoresis and Brownian motion factors. It is explored that the heat is upraised when the heat generation is augmented but decays for heat absorption. The point to be noted here is that the Hartmann number and Prandtl number enhance the heat curves in the presence of a heat source. It is also observed that when the thermophoresis factor is increased the nanoparticles concentration is also enhanced via heat source/sink. The error estimation is computed for different order approximations. For the confirmation of the mathematical modeling, the current study is validated with the previous.

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Lie Group Analysis and Numerical Solutions for Magnetoconvective Slip Flow along a Moving Chemically Reacting Radiating Plate in Porous Media with Variable Mass Diffusivity

Cited by 4 publications

References 49 publications

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

MHD flow of a nanofluid in an expanding or contracting porous pipe with chemical reaction and heat source/sink

Role of Chemically Magnetized Nanofluid Flow for Energy Transition over a Porous Stretching Pipe with Heat Generation/Absorption and Its Stability

Mathematical modeling of magnetized nanofluid flow over extending and contracting pipe with heat source and chemical reaction: Error estimation and stability analysis

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