Thermal performance of an MHD radiative Oldroyd‐B nanofluid by utilizing generalized models for heat and mass fluxes in the presence of bioconvective gyrotactic microorganisms and variable thermal conductivity

Sohail, Muhammad; Naz, Rubina; Bilal, S.

doi:10.1002/htj.21475

Cited by 21 publications

(12 citation statements)

References 35 publications

(72 reference statements)

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“…Researchers proposed several schemes to handle the non-linear complex differential equations. Here, optimal homotopy analysis procedure (OHAP) [ 7 , 14 , 19 , 20 , 21 , 22 , 23 ] is engaged due to its several advantages.…”

Section: Numerical Methods For Solutionmentioning

confidence: 99%

“…Using the concepts of minimization of average squared residual error [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 19 , 20 , 21 , 22 , 23 ]:

where

…”

Section: Numerical Methods For Solutionmentioning

confidence: 99%

“…Also they listed the numerical values for heat transfer coefficient against different parameters. Few recent studies covering non-linear transport problems with different effects have been reported in [ 19 , 20 , 21 , 22 , 23 , 24 , 25 ].…”

Section: Introductionmentioning

confidence: 99%

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Significant Involvement of Double Diffusion Theories on Viscoelastic Fluid Comprising Variable Thermophysical Properties

et al. 2021

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This report examines the heat and mass transfer in three-dimensional second grade non-Newtonian fluid in the presence of a variable magnetic field. Heat transfer is presented with the involvement of thermal relaxation time and variable thermal conductivity. The generalized theory for mass flux with variable mass diffusion coefficient is considered in the transport of species. The conservation laws are modeled in simplified form via boundary layer theory which results as a system of coupled non-linear partial differential equations. Group similarity analysis is engaged for the conversion of derived conservation laws in the form of highly non-linear ordinary differential equations. The solution is obtained vial optimal homotopy procedure (OHP). The convergence of the scheme is shown through error analysis. The obtained solution is displayed through graphs and tables for different influential parameters.

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Section: Numerical Methods For Solutionmentioning

confidence: 99%

“…Using the concepts of minimization of average squared residual error [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 19 , 20 , 21 , 22 , 23 ]:

where

…”

Section: Numerical Methods For Solutionmentioning

confidence: 99%

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Significant Involvement of Double Diffusion Theories on Viscoelastic Fluid Comprising Variable Thermophysical Properties

et al. 2021

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“…For the estimated modeling problem, the initial guesses are their respective linear operators

f_{A} (ξ) = 1 - \frac{1}{e^{ξ}}, θ_{A} (ξ) = \frac{1}{e ξ}, ϕ_{A} (ξ) = \frac{1}{e ξ},

L_{A} = (D^{3} - D) f, L_{B} = (D^{2} - 1) θ, L_{C} = (D^{2} - 1) ϕ,

these linear operators conform the following features

L_{A} (][J_{1}^{⁎} + | J_{2}^{⁎} e^{ξ} + J_{3}^{⁎} e^{- ξ}) = 0,

L_{B} [J_{4}^{⁎} e^{ξ} + J_{5}^{⁎} e^{- ξ}] = 0,

L_{C} [J_{6}^{⁎} e^{ξ} + J_{7}^{⁎} e^{- ξ}] = 0,

where

J_{n}^{⁎} (n = 1, …, 7)

are the constants which are computed by fetching the declared constraints. Averaged squared residuals as recommended in References [33‐38] for velocity, thermal and solutal fields with controlling parameters

ℏ_{f}, ℏ_{θ}

, and

ℏ_{ϕ},

are described as

\overset{}{true}

…”

Section: Optimal Homotopy Analysis Methodsmentioning

confidence: 99%

“…are the constants which are computed by fetching the declared constraints. Averaged squared residuals as recommended in References [33][34][35][36][37][38] for velocity, thermal and solutal fields with controlling parameters ℏ ℏ , f θ , and ℏ , ϕ are described as…”

Section: Optimal Homotopy Analysis Methodsmentioning

confidence: 99%

Radiative flow of MHD non‐Newtonian fluid by utilizing the updated version of heat flux model under Joule heating

2021

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This exploration reports the analysis of thermal and species transportation to yields manifesting non‐Newtonian material flowing over the linear stretching sheet. Phenomena of heat transport are presented via Cattaneo–Christov heat flux definition. Mass transportation is modeled by engaging the traditional Fick's second law with updated model of mass flux including the species relaxation time. Moreover, Joule heating and radiation contribution to thermal transmission are also considered. The significant contribution of diffusion‐thermo and thermos‐diffusion is engaged in thermal and species transmission. Physical depiction of the considered scenario is modeled via boundary layer approximation. Similarity analysis has been made to transfigure the system of modeled partial differential equations into respective ordinary differential equations. Afterwards, transformed physical expressions are computed for the momentum, thermal, and species transportation inside the boundary layer.

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Periodically moving surface in an Oldroyd‐B fluid with variable thermal conductivity and Cattaneo‐Christov heat flux features

et al. 2020

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Here, we have endeavored the rheological aspects of Oldroyd‐B fluid induced by an accelerated and periodically moving sheet. The heat transfer evolution has been characterized with employment of novel Cattaneo‐Christov law. Further features of heat transfer are characterized with heat generation/absorption and thermal conductivity depending upon the temperature. The governing equations have been constituted properly with utilization of associated laws. After truncating the flow problem in dimensionless form, we follow famous analytic procedure, namely, homotopy analysis technique to simulate the solution. The convergence of the solution is established by sketching the h‐curves. While assigning suitable constant values to involved physical parameters like Deborah number, thermal relaxation parameter, Prandtl number, and heat source/sink constants, the change in particles movement and heat transfer rate has been examined. It is observed that the velocity profile decreases with increments in Deborah constant, in terms of relaxation time constant. The presence of variable thermal conductivity and heat source parameters enhance the temperature distribution efficiently.Significance of ResultsRecently, non‐Newtonian fluids have attracted the interest of scientists due to their significant use in various chemical, mechanical, and processing industries. Some essential applications of such materials arise in polymer processing, food industries, paints, petroleum industries, biomedical engineering, and so forth. Besides this, the heat transportation phenomenon in non‐Newtonian fluids flow engaged diverse novel applications in area of engineering processes, and also appeared in chemical, mechanical, and processing industries. The present problem may find engineering applications in paper production, glass blowing, polymer solution, and metal extrusion. The proposed results are useful in extrusion system applications, energy production, and manufacturing processes.

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Thermal performance of an MHD radiative Oldroyd‐B nanofluid by utilizing generalized models for heat and mass fluxes in the presence of bioconvective gyrotactic microorganisms and variable thermal conductivity

Cited by 21 publications

References 35 publications

Significant Involvement of Double Diffusion Theories on Viscoelastic Fluid Comprising Variable Thermophysical Properties

Significant Involvement of Double Diffusion Theories on Viscoelastic Fluid Comprising Variable Thermophysical Properties

Radiative flow of MHD non‐Newtonian fluid by utilizing the updated version of heat flux model under Joule heating

Periodically moving surface in an Oldroyd‐B fluid with variable thermal conductivity and Cattaneo‐Christov heat flux features

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