Role of Cattaneo–Christov heat flux in an MHD Micropolar dusty nanofluid flow with zero mass flux condition

AbstractThis investigation aims to look at the thermal conductivity of dusty Micropolar nanoliquid with MHD and Cattaneo–Christov heat flux flow over an elongated sheet. The novelty of the envisioned mathematical model is augmented with the added impacts of the heat source/sink, chemical reaction with slip, convective heat, and zero mass flux boundary conditions. The salient feature of the existing problem is to discuss the whole scenario with liquid and dust phases. The graphical depiction is attained for arising pertinent parameters by using bvp4c a built-in MATLAB function. It is noticed that the thermal profile and velocity field increases for greater values of liquid particle interaction parameter in the case of the dust phase. An escalation in the thermal profile of both liquid and dust phases is noticed for the magnetic parameter. The rate of mass transfer amplifies for large estimates of the Schmidt number. The thickness of the boundary layer and the fluid velocity are decreased as the velocity slip parameter is augmented. In both dust and liquid phases, the thermal boundary layer thickness is lessened for growing estimates of thermal relaxation time. The attained results are verified when compared with a published result.

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Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model

Complexity ◽

10.1155/2021/8204928 ◽

2021 ◽

Vol 2021 ◽

pp. 1-15

Author(s):

Shamaila Batool ◽

A. M. Alotaibi ◽

Waris Khan ◽

Ahmed Hussein Msmali ◽

Ikramullah ◽

...

Keyword(s):

Boundary Layer ◽

Mass Flux ◽

Fluid Velocity ◽

Fluid Motion ◽

Thermal Relaxation ◽

Nonlinear Pdes ◽

Physical Parameters ◽

Fluid Temperature ◽

Analytical Technique ◽

Similarity Relations

The 3D Prandtl fluid flow through a bidirectional extending surface is analytically investigated. Cattaneo–Christov fluid model is employed to govern the heat and mass flux during fluid motion. The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. The set of coupled nonlinear PDEs is converted to ODEs by employing appropriate similarity relations. The system of coupled ODEs is analytically solved using the well-established mathematical technique of HAM. The impacts of various physical parameters over the fluid state variables are investigated by displaying their corresponding plots. The augmenting Prandtl parameter enhances the fluid velocity and reduces the temperature and concentration of the fluid. The momentum boundary layer boosts while the thermal boundary layer mitigates with the rising elastic parameter ( α 2 ) strength. Furthermore, the enhancing thermal relaxation parameter ( γ e )) reduces the temperature distribution, whereas the augmenting concentration parameter ( γ c ) drops the strength of the concentration profile. The increasing Prandtl parameter declines the fluid temperature while the augmenting Schmidt number drops the fluid concentration. The comparison of the HAM technique with the numerical solution shows an excellent agreement and hence ascertains the accuracy of the applied analytical technique. This work finds applications in numerous fields involving the flow of non-Newtonian fluids.

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Entropy Optimization of Third-Grade Nanofluid Slip Flow Embedded in a Porous Sheet With Zero Mass Flux and a Non-Fourier Heat Flux Model

Frontiers in Physics ◽

10.3389/fphy.2020.00250 ◽

2020 ◽

Vol 8 ◽

Author(s):

K. Loganathan ◽

G. Muhiuddin ◽

A. M. Alanazi ◽

Fehaid S. Alshammari ◽

Bader M. Alqurashi ◽

...

Keyword(s):

Heat Flux ◽

Entropy Generation ◽

Mass Flux ◽

Slip Flow ◽

Porous Plate ◽

Bejan Number ◽

Surface Boundary ◽

Nanoparticle Concentration ◽

Zero Mass ◽

Analysis Scheme

The prime objective of this article is to explore the entropy analysis of third-order nanofluid fluid slip flow caused by a stretchable sheet implanted in a porous plate along with thermal radiation, convective surface boundary, non-Fourier heat flux applications, and nanoparticle concentration on zero mass flux conditions. The governing physical systems are modified into non-linear ordinary systems with the aid of similarity variables, and the outcomes are solved by a homotopy analysis scheme. The impression of certain governing flow parameters on the nanoparticle concentration, temperature, and velocity is illustrated through graphs, while the alteration of many valuable engineering parameters viz. the Nusselt number and Sherwood number are depicted in graphs. Entropy generation with various parameters is obtained and discussed in detail. The estimation of entropy generation using the Bejan number find robust application in power engineering and aeronautical propulsion to forecast the smartness of entire system.

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Zero‐mass flux and Cattaneo–Christov heat flux through a Prandtl non‐Newtonian nanofluid in Darcy–Forchheimer porous space

Heat Transfer ◽

10.1002/htj.21872 ◽

2020 ◽

Vol 50 (1) ◽

pp. 220-233 ◽

Cited By ~ 1

Author(s):

M. G. Reddy ◽

P. Vijayakumari ◽

K. G. Kumar ◽

S. A. Shehzad

Keyword(s):

Heat Flux ◽

Mass Flux ◽

Porous Space ◽

Zero Mass

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Numerical study of bioconvection flow of nanofluids using non-Fourier’s heat flux and non-Fick’s mass flux theory

International Journal of Modern Physics B ◽

10.1142/s0217979219503764 ◽

2019 ◽

Vol 33 (31) ◽

pp. 1950376

Author(s):

Madhu Aneja ◽

Sapna Sharma

Keyword(s):

Heat Flux ◽

Differential Equations ◽

Temperature Profile ◽

Concentration Profile ◽

Mass Flux ◽

Numerical Study ◽

Heated Surface ◽

Thermal Relaxation ◽

Governing Equations ◽

Micro Organisms

The characteristics of buoyancy-driven convection of nanofluid stream containing motile gyrotactic micro-organisms over a continuous heated surface are explored. The benefits of including micro-organisms to the suspension incorporate micro-scale mixing and foreseen enhanced stability of nanofluid. For heat transfer and mass transfer processes, non-Fourier’s heat flux theory and non-Fick’s mass flux theory are employed. This theory is actively under investigation to resolve some drawbacks of the famous Fourier’s Law and Fick’s Law. The modified parameters in conventional laws are thermal and solutal relaxation times, respectively. The governing equations are remodeled using appropriate similarity transformations into a system of coupled ordinary differential equations. Finite Element Methodology is used to obtain the solution of nonlinear coupled differential equations. The governing equations are associated with dimensionless parameters like [Formula: see text]. The influence of these parameters is analyzed graphically on velocity, temperature profile, concentration profile and density of micro-organisms. The computational results obtained reveal that the temperature profile and concentration profile have an inverse relationship with thermal relaxation and solutal relaxation time, respectively. Furthermore, the velocity increases with increasing values of the Richardson number, while a reverse pattern is observed for bioconvection Rayleigh number and Buoyancy ratio parameter.

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Effect of Viscous Dissipation on Upper - Convected Maxwell Fluid with Cattaneo-Christov Heat Flux Model Using Spectral Relaxation Method

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.388.146 ◽

2018 ◽

Vol 388 ◽

pp. 146-157 ◽

Cited By ~ 2

Author(s):

K. Gangadhar ◽

Chintalapudi Suresh Kumar ◽

S. Mohammed Ibrahim ◽

Giulio Lorenzini

Keyword(s):

Boundary Layer ◽

Heat Flux ◽

Relaxation Time ◽

Thermal Relaxation ◽

Relaxation Method ◽

Maxwell Fluid ◽

Spectral Relaxation Method ◽

Flux Model ◽

Spectral Relaxation ◽

Heat Flux Model

The study observes the flow and heat transfer in upper-convected Maxwell fluid over a rapidly stretching surface with viscous dissipation. Cattaneo-Christov heat flux model has been used in the preparation of the energy equation. The model is used in guessing the impacts of thermal relaxation time over boundary layer. Similarity method has been used to keep normal the supervising boundary layer equations. Local similarity solutions have been obtained through spectral relaxation method. The fluid temperature has a relation with thermal relaxation time inversely and our calculations have shown the same.. In addition the fluid velocity is a receding activity of the fluid relaxation time. A comparative study of Fourier’s law and the Cattaneo-Christov’s law has been done and inserted in this.

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Comparison Between Zero Mass Flux Flow Control Methods for Low Speed Airfoil Separation Control

35th AIAA Fluid Dynamics Conference and Exhibit ◽

10.2514/6.2005-4884 ◽

2005 ◽

Cited By ~ 1

Author(s):

Nan Jou Pern ◽

Jamey Jacob

Keyword(s):

Flow Control ◽

Mass Flux ◽

Separation Control ◽

Control Methods ◽

Flux Flow ◽

Low Speed ◽

Zero Mass

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Utilization of updated version of heat flux model for the radiative flow of a non-Newtonian material under Joule heating: OHAM application

Open Physics ◽

10.1515/phys-2021-0010 ◽

2021 ◽

Vol 19 (1) ◽

pp. 100-110

Author(s):

Muhammad Sohail ◽

Umair Ali ◽

Fatema Tuz Zohra ◽

Wael Al-Kouz ◽

Yu-Ming Chu ◽

...

Keyword(s):

Boundary Layer ◽

Heat Flux ◽

Joule Heating ◽

Thermal Relaxation ◽

Species Transport ◽

Reported Study ◽

Heat Transfer Phenomenon ◽

Flux Model ◽

Thermal Transmission ◽

Definition Of

Abstract This study reports the thermal analysis and species transport to manifest non-Newtonian materials flowing over linear stretch sheets. The heat transfer phenomenon is presented by the Cattaneo–Christov definition of heat flux. Mass transportation is modeled using traditional Fick’s second law. In addition, the contribution of Joule heating and radiation to thermal transmission is also considered. Thermo-diffusion and diffusion-thermo are significant contributions involved in thermal transmission and species. The physical depiction of the scenario under consideration is modeled through the boundary layer approach. Similar analysis has been made to convert the PDE model system into the respective ODE. Then, the transformed physical expressions are calculated for momentum, thermal, and species transport within the boundary layer. The reported study is a novel contribution due to the combined comportment of thermal relaxation time, radiation, Joule heating, and thermo-diffusion, which are not yet explored. Several engineering systems are based on their applications and utilization.

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Curvilinear flow of micropolar fluid with Cattaneo–Christov heat flux model due to oscillation of curved stretchable sheet

Zeitschrift für Naturforschung A ◽

10.1515/zna-2021-0006 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Muhammad Naveed ◽

Muhammad Imran ◽

Zaheer Abbas

Keyword(s):

Heat Flux ◽

Micropolar Fluid ◽

Fluid Velocity ◽

Thermal Relaxation ◽

Curvilinear Coordinates ◽

Curved Surface ◽

Radius Of Curvature ◽

Published Data ◽

Flux Model ◽

Heat Flux Model

Abstract This paper aims to investigate the transfer of heat phenomenon in a hydromagnetic time dependent flow of micropolar fluid across an oscillating stretchable curved surface by using the Cattaneo–Christov heat flux model, which considers thermal relaxation time. An elastic curved surface that stretches back and forth causes the flow situation. The flow equations are derived as nonlinear partial differential equations by incorporating a curvilinear coordinates system, which is then solved analytically via the homotopy analysis method (HAM). The accuracy of the derived analytical results is also examined by using a finite-difference technique known as the Keller box method, and it is found to be in strong agreement. The influences of various physical characteristics such as material parameter, magnetic parameter, thermal relaxation parameter, a dimensionless radius of curvature, Prandtl number and ratio of surface’s oscillating frequency to its stretching rate parameter on angular velocity, fluid velocity, pressure, temperature, heat transmission rate, and skin friction and couple stress coefficient are depicted in detail with the help of graphs and tables. Furthermore, for the verification and validation of the current results, a tabular comparison of the published data in the literature for the case of flat oscillating surface versus curved oscillating surface is carried out and found to be in good agreement.

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