Nonlinear Boussinesq and Rosseland approximations on 3D flow in an interruption of Ternary nanoparticles with various shapes of densities and conductivity properties

Sajjan, Kiran; Shah, Nehad Ali; Ahammad, N. Ameer; Raju, C. S. K.; Kumar, M. Senthil; Weera, Wajaree

doi:10.3934/math.20221014

Cited by 75 publications

(17 citation statements)

References 41 publications

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“…Recently, Riaz et al [27] published their work on peristaltic flow in a curved rectangular duct and concluded that the pumping rate was lower in ducts with large curvature and aspect ratios. Further information on 3-D flows can be found in [28,29].…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: A novel mathematical model for the effects of wall properties on pumping flow of a biofluid in a symmetrical three-dimensional curved duct

et al. 2023

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Most pumping actions entail a physical volume change of the duct, which is frequently achieved by having a compliant wall or membrane. To the best of our knowledge, the current study is the first report on a mathematical model developed to analyze the peristaltic transport of a Newtonian fluid in a curved duct with rectangular face and compliant walls. Such geometries are most commonly used in clinical and biological equipment, where the walls of the duct need to be flexible. Flexible ducts are more useful than rigid ones because they do not require any extra modifications or accessories. Here, we have used the conditions of lubrication theory to construct an accurate model, and a common perturbation technique was incorporated to handle the Navier-Stokes equations with emphasis on various aspect ratios and curvatures. A system of curvilinear coordinates operating according to the principles of the cylindrical system was employed to represent the mathematical problem. No-slip boundary limitations were considered at the walls along with the extra constraint of compliant walls showing damping force and stiffness. Comprehensive graphical representations were made to illustrate the effects of all emerging factors of the study in both two- and three-dimensional formats. We found that large curvatures and flexure rigidity decreased the fluid velocity uniformly, but the aspect ratio and amplitude parameters could promote fluid velocity. Validation of the results was performed through the generation of a residual error curve. The current readings were taken again with a straight duct to make a comparison with the existing literature.

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Section: Introductionmentioning

confidence: 99%

RETRACTED: A novel mathematical model for the effects of wall properties on pumping flow of a biofluid in a symmetrical three-dimensional curved duct

et al. 2023

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“…Reddy et al 36 elaborated heat transfer in Casson nanofluid with viscous dissipation effect with particle movement under the impact of thermal radiation. Recently, constructive studies have been carried out to analyze thermal radiation impact with comprehensive flow regimes [37][38][39][40][41] .…”

Section: List Of Symbols U Vmentioning

confidence: 99%

Effect of thermal radiation on convective heat transfer in MHD boundary layer Carreau fluid with chemical reaction

Shah

Hassan

Karamti

et al. 2023

Sci Rep

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The temperature dependent thermophysical fluid properties have numerous aspects in different industries and engineering processes in which heat transmission is based on fluid flow. For such heat transmission processes, heat transmission system is highly fluctuated with variation of viscosity. Thus, the aim of this study is to investigate the transfer of heat in magnetized Carreau fluid with chemical reaction and under influence of thermal radiation over nonlinear stretching/shrinking surface. Additionally, we have incorporated variable heat dependent thermophysical properties to analyze the heat transfer in magnetized Carreau fluid. Set of flow governing non linear PDE’s are obtained using Carreau fluid tensor and boundary layer approximation (BLA) theory. Dimensionless set of ODE’s are obtained using suitable similarity transforms. Shooting method in conjunction with Newton's method have been utilized to solve the problem. It is noted that when stretching $$B\ge 0$$ B ≥ 0 is significant with strictly increasing mass suction $$S$$ S shear stress rate increase with minor levels and sharp increase has been observed in Nusselt number, whereas in shrinking case $$B<0$$ B < 0 shear stress and heat transfer coefficient values are improved raising the value of $$S$$ S mass suction. Further, raising the values of power law index $$n$$ n produce reduced skin friction over stretching surface $$B\ge 0$$ B ≥ 0 while skin friction dramatically enhance in shrinking case $$B<0$$ B < 0 . It is observed that raising the non-linearity $$m$$ m values for stretching or shrinking, skin friction and Nusselt number considerably improved. Moreover, computational outcomes of the study are validated with already published previous results and the results obtained in this study are found in good agreement.

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“…The proposed AI based MWNN-PSOASP can be implemented to solve various nonlinear, fractional and fluid dynamic systems [ [49] , [50] , [51] , [52] , [53] , [54] , [55] ].…”

Section: Future Research Directionsmentioning

confidence: 99%

Swarming morlet wavelet neural network procedures for the mathematical robot system

Singkibud

Sabir

Fathurrochman

et al. 2022

Informatics in Medicine Unlocked

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Nonlinear Boussinesq and Rosseland approximations on 3D flow in an interruption of Ternary nanoparticles with various shapes of densities and conductivity properties

Cited by 75 publications

References 41 publications

RETRACTED: A novel mathematical model for the effects of wall properties on pumping flow of a biofluid in a symmetrical three-dimensional curved duct

RETRACTED: A novel mathematical model for the effects of wall properties on pumping flow of a biofluid in a symmetrical three-dimensional curved duct

Effect of thermal radiation on convective heat transfer in MHD boundary layer Carreau fluid with chemical reaction

Swarming morlet wavelet neural network procedures for the mathematical robot system

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