New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

Xu, Yunjie; Faisal, Shah; Khan, M. Ijaz; Kumar, Rajender; Gowda, R. J. Punith; Prasannakumara, B. C.; Malik, M.Y.; Khan, Sami Ullah

doi:10.1142/s0129183122500139

Cited by 25 publications

(3 citation statements)

References 34 publications

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“…Madhukesh et al [2] scrutinized the consequence of thermophoretic particle decomposition of a Casson hybrid nanoliquid subjected to laminar, uniform flow generated by a Riga surface in the attendance of a porous media. Xu et al [3] explored the consequence of the magnetic field, mixed convection, and thermal sink/source on a fourth-grade liquid circulation around a Riga body. Asgowa et al [4] excavated the observed outcome of the heat sink and chemical reaction through a Riga surface of Casson nanofluids.…”

Section: Introductionmentioning

confidence: 99%

A Model Development for Thermal and Solutal Transport Analysis of Non-Newtonian Nanofluid Flow over a Riga Surface Driven by a Waste Discharge Concentration

Madhukesh,

Kalleshachar,

Kumar

et al. 2023

Water

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Wastewater discharge plays a vital role in environmental management and various industries. Water pollution control and tracking are critical for conserving water resources and maintaining adherence to environmental standards. Therefore, the present analysis examines the impact of pollutant discharge concentration considering the non-Newtonian nanoliquids over a permeable Riga surface with thermal radiation. The analysis is made using two distinct kinds of non-Newtonian nanoliquids: second-grade and Walter’s liquid B. The governing equations are made using the applications of boundary layer techniques. Utilizing the suitable similarity variable reduces the formulated governing equations into an ordinary differential set of equations. The solutions will be obtained using an efficient numerical technique and the significance of various dimensionless constraints on their individual profiles will be presented using graphical illustrations. A comparative analysis is reported for second-grade and Walter’s liquid B fluids. The results show that the porous factor declines the velocity profile for both fluids. Radiation and external pollutant source variation constraints will improve thermal and concentration profiles. The rate of thermal distribution improved with the rise in radiation and solid volume factors. Further, essential engineering factors are analyzed. The outcomes of the present study will help in making decisions and putting efficient plans in place to reduce pollution and safeguard the environment.

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Section: Introductionmentioning

confidence: 99%

A Model Development for Thermal and Solutal Transport Analysis of Non-Newtonian Nanofluid Flow over a Riga Surface Driven by a Waste Discharge Concentration

Madhukesh,

Kalleshachar,

Kumar

et al. 2023

Water

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“…The mathematical solution will be analytical, whereas more often, this method will be numerical. The method can be applied to various systems and has been described in several publications [ 33 , 34 , 35 , 36 , 37 , 38 ]. This model can be better understood by reading [ 39 , 40 , 41 , 42 , 43 ] and their references.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Visuvasam¹,

Alotaibi

2023

Micromachines

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The study of Von Kármán swirling flow is a subject of active interest due to its applications in a wide range of fields, including biofuel manufacturing, rotating heat exchangers, rotating disc reactors, liquid metal pumping engines, food processing, electric power generating systems, designs of multi-pore distributors, and many others. This paper focusses on investigating Von Kármán swirling flows of viscous incompressible fluid due to a rotating disk electrode. The model is based on a system of four coupled second-order non-linear differential equations. The purpose of the present communication is to derive analytical expressions of velocity components by solving the non-linear equations using the homotopy analysis method. Combined effects of the slip λ and porosity γ parameters are studied in detail. If either parameter is increased, all velocity components are reduced, as both have the same effect on the mean velocity profiles. The porosity parameter γ increases the moment coefficient at the disk surface, which monotonically decreases with the slip parameter λ. The analytical results are also compared with numerical solutions, which are in satisfactory agreement. Furthermore, the effects of porosity and slip parameters on velocity profiles are discussed.

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“…Waqas et al 6 presented a theoretical model of the bioconvection and activation energy effects. Xu et al 7 analytically examined the mixed convection and magnetic effects over a Riga plate in a generalized fourth‐grade liquid. Shamshuddin and Narayana 8 developed a mathematical model to study the influence of magneto‐hydrodynamic (MHD) squeezing flow between two Riga plates with Cattaneo–Christov heat flux and dissipation.…”

Section: Introductionmentioning

confidence: 99%

Thermophoretic particle deposition and heat generation analysis of Newtonian nanofluid flow through magnetized Riga plate

et al. 2021

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The Riga surface is composed of an electromagnetic actuator that comprises a span‐wise associated array of discontinuous electrodes and an everlasting magnet mounted over a planer surface. The electro‐magneto‐hydrodynamic has an attractive role in thermal reactors, fluidics network flow, liquid chromatography, and micro coolers. Inspired by these applications, a laminar, two‐dimensional nanofluid flow with uniform heat sink‐source, thermophoretic depositions of the particles, and the Newtonian heating effect are investigated. The equations that describe the fluid motion are reduced into a system of ordinary differential equations with the help of spatial similarity variables. Numeric solutions of ordinary differential equations are executed through the Runge–Kutta–Felhberg 45 order technique via a shooting scheme. The role of various nondimensional factors on physically interesting quantities is elaborated graphically. The velocity profile rises for modified Hartmann number and decreases for porosity parameter. Thermal enhancement is high in the common wall temperature condition comparative to the case of the Newtonian heating conditions. The concentration profile is enhanced with Schmidt number, but the reverse trend is observed for the thermophoretic parameter. The rate of mass transfer is increased with Schmidt number.

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New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

Cited by 25 publications

References 34 publications

A Model Development for Thermal and Solutal Transport Analysis of Non-Newtonian Nanofluid Flow over a Riga Surface Driven by a Waste Discharge Concentration

A Model Development for Thermal and Solutal Transport Analysis of Non-Newtonian Nanofluid Flow over a Riga Surface Driven by a Waste Discharge Concentration

Analysis of Von Kármán Swirling Flows Due to a Porous Rotating Disk Electrode

Thermophoretic particle deposition and heat generation analysis of Newtonian nanofluid flow through magnetized Riga plate

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