Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection

Alharbi, Khalid Abdulkhaliq M.; Farooq, Umar; Waqas, Hassan; Imran, Muhammad; Noreen, Sobia; Akgül, Ali; Băleanu, Dumitru; Din, Sayed M. El; Abbas, Khizer

doi:10.1016/j.ijft.2023.100339

Cited by 25 publications

(2 citation statements)

References 29 publications

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“…Keller-box approach was utilized to analyze the non-Newtonian Maxwell nanofluid under the impact of porous media, thermal radiation, viscous dissipation, and joule heating. Alharbi et al 22 by considering heat radiation, looked into the effects of a Maxwell-Sutterby nanofluid on a sheet. The investigation of exponential heat sink/source and minimal energy is presented in this study.…”

Section: Introductionmentioning

confidence: 99%

A proceeding to numerical study of mathematical model of bioconvective Maxwell nanofluid flow through a porous stretching surface with nield/convective boundary constraints

Imran,

Basit,

Yasmin

et al. 2024

Sci Rep

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Nanofluids become significant in the mass and heat transfer models, especially in engineering problems. Current proceedings focused on the bioconvective Maxwell nanofluid flow passing through the permeable stretchable sheet contingent to nield boundary conditions involving effects of activation energy and thermal radiation. Various physical quantities are involved in this mechanism like magnetic field, thermophoresis, and Brownian motion. The main objective of the study is to report the heat and mass transport in the existence of motile microorganisms. In a mathematical perspective, this structured physical model is going to govern with the help of partial differential equations (PDEs). These governing PDEs are then converted into dimensionless ordinary differential equations form by utilizing appropriate similarity transformations. For numerical results, the shooting technique with ‘bvp4c’ built-in package of MATLAB was implemented. Computed results are then visualized graphically and discussed effects of involving physical variables on the nano-fluid flow profiles are comprehensively. From results, it has been concluded that the fluid flow velocity, temperature, concentration, and microorganism density profiles show escalation on increasing the numeric values of porosity, thermophoresis, buoyancy ratio, bioconvection Rayleigh, Peclet number parameters and decrement reported due to increasing the counts of Prandtl number, magnetic field, radiation, Brownian motion, Lewis number as evident from figures. The numerical outcomes observed by fixing the physical parameters as $$0.1 < \lambda < 3.0$$ 0.1 < λ < 3.0 , $$0.1 < M < 1.5$$ 0.1 < M < 1.5 , $$0.1 < Nr < 6.0$$ 0.1 < N r < 6.0 , $$0.1 < Rb < 1.5$$ 0.1 < R b < 1.5 , $$0.1 < Nb < 6.0$$ 0.1 < N b < 6.0 , $$0.1 < Nt < 1.0$$ 0.1 < N t < 1.0 , $$2.0 < \Pr < 2.9$$ 2.0 < Pr < 2.9 , $$0.1 < Rd < 0.4$$ 0.1 < R d < 0.4 . Magnetic field and Brownian motion create retardation impact due to the liquid momentum. In tables, the numerical values of Skin friction, Nusselt number, Sherwood number, and microorganisms density number are presented and also comparison table of our computed results and already published results is included for the validation.

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Section: Introductionmentioning

confidence: 99%

A proceeding to numerical study of mathematical model of bioconvective Maxwell nanofluid flow through a porous stretching surface with nield/convective boundary constraints

Imran,

Basit,

Yasmin

et al. 2024

Sci Rep

Self Cite

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“…Following this innovative study, flow field over extending surfaces has received considerable attention, and a great deal has been written on it. Examples include Aziz [24], Dessie and Kishan [25], Cortell et al [26], Rafique et al [27], Alharbi et al [28], Yirga et al [29], and Hayat et al [30].…”

Section: Introductionmentioning

confidence: 99%

Coupled Effects of Lorentz Force, Radiation, and Dissipation on the Dynamics of a Hybrid Nanofluid over an Exponential Stretching Sheet

Zahid,

Basit,

Ullah

et al. 2023

Energies

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The flow and heat transfer induced by an exponentially shrinking sheet with hybrid nanoparticles are investigated comprehensively in this paper. Nanoparticles are considered due to their unusual characteristics such as extraordinary thermal conductivity, which is significant in advanced nanotechnology, heat exchangers, material sciences, and electronics. The main objective of this research is to enhance heat transportation. The flow model is first transformed and simplified to a system of ordinary differential equations utilizing non-dimensional quantities and similarity functions. Then, the desired system is solved with the help of the Runge–Kutta numerical method and the shooting technique in MATLAB script. The results show that a stronger porosity parameter raises the temperature while diminishing the velocity. Additionally, they emphasize that augmentations in the magnetic parameter, Eckert number, radiation parameter, and the volume fractions of titanium dioxide and silver nanoparticles are all proportional to the temperature profile.

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Impact of bioconvection on Darcy‐Forchheimer flow of MHD Carreau fluid with Arrhenius activation energy

Rehman,

Chen,

Hamid

2023

Z Angew Math Mech

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This research examines the bioconvection impact on mixed convective Carreau fluid flowing toward permeable stretched surface with joule heating and Darcy‐Forchheimer effect. The evaluation has been attained in the presence of convective conditions, Joule heating, thermal radiative, mixed convective and motile microorganisms, which have not been dreamed before. Flow in permeable medium is characterized by utilizing Darcy‐Forchheimer model. Appropriate similarity factors are utilized to obtain the ordinary differential equations (ODEs). The derived mathematical formulation is now numerically solved with the help of R‐K 4th order scheme based on shooting approach. The results of the motile microorganism number, velocity, Sherwood number, temperature, motile density number, drag coefficient, concentration, and local Nusselt number are revealed graphically. The effect of bioconvection Lewis number on the motile microorganisms and motile density profile are quite inverse. Further, higher values of Schmidt number decrease the concentration field.

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Numerical solution of Maxwell-Sutterby nanofluid flow inside a stretching sheet with thermal radiation, exponential heat source/sink, and bioconvection

Cited by 25 publications

References 29 publications

A proceeding to numerical study of mathematical model of bioconvective Maxwell nanofluid flow through a porous stretching surface with nield/convective boundary constraints

A proceeding to numerical study of mathematical model of bioconvective Maxwell nanofluid flow through a porous stretching surface with nield/convective boundary constraints

Coupled Effects of Lorentz Force, Radiation, and Dissipation on the Dynamics of a Hybrid Nanofluid over an Exponential Stretching Sheet

Impact of bioconvection on Darcy‐Forchheimer flow of MHD Carreau fluid with Arrhenius activation energy

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