Heat transfer analysis in cylindrical polar system with magnetic field: A novel Hybrid Analytical and Numerical Technique

Jalili, Payam; Azar, Ali Ahmadi; Jalili, Bahram; Asadi, Zohreh; Ganji, D.D.

doi:10.1016/j.csite.2022.102524

Cited by 58 publications

(21 citation statements)

References 37 publications

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“…radial velocity decreases with an increase in both parameters near the central plane. The Jalili et al 13 results showed that The average error between HAN method and HPM, for radial velocity is 3.1%, for axial velocity is 0.69%. Akhter et al 15 improved the studies that applied by Jalili et al 13 and Agarwal 14 with considering the porous medium for fluid flow.…”

Section: Introductionmentioning

confidence: 96%

“…The Jalili et al 13 results showed that The average error between HAN method and HPM, for radial velocity is 3.1%, for axial velocity is 0.69%. Akhter et al 15 improved the studies that applied by Jalili et al 13 and Agarwal 14 with considering the porous medium for fluid flow. Hayat et al 16 used Jeffrey nanofluid between two rotating stretchable disks.…”

Section: Introductionmentioning

confidence: 96%

“…Iqbal et al 12 improved the problems that were studied by Srivastava 10 and Das and Sahoo 11 by considering the transient constitutive governing equations, choosing electrically conducting incompressible water-based nanofluid instead of regular micropolar fluid and considering the porous medium for fluid flow. The structure of two rotating disks studied by Srivastava 10 , Das and Sahoo 11 , and Iqbal et al 12 was later improved by Jalili et al 13 and Agarwal 14 , and instead of two rotating disks, two stretching disks were used with the difference that Jalili et al 13 used the semi-analytical HAN method while Agarwal 14 used HPM for solving the constitutive equations. As different methods were used, different results were concluded.…”

Section: Introductionmentioning

confidence: 99%

“…The similarity transformation is applied for converting the constitutive equations into a set of nonlinear coupled ODEs. The HAN method is used in this study due to its brilliant reputation for solving problems with nonlinear constitutive equations 13 , 17 – 24 . In the similarity solutions, five physical quantities such as radial velocity, axial velocity, micro-rotation, temperature, and concentration profiles, with the addition of nine physical parameters such as radiation parameter, Eckert number, Prandtl number, stretching Reynolds number, magnetic parameter, Schmidt number, vortex viscosity, micro-inertia density, and spin gradient viscosity parameter.…”

Section: Introductionmentioning

confidence: 99%

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Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

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The purpose of this theoretical study is to explore the behavior of an electrically conducting micropolar fluid when subjected to a uniform magnetic field along the vertical axis between two stretching disks as the structure of the problem changes. In this context, structural changes refer to alterations in the distance between the two discs or the stretching rate of the two discs. The governing equations of this problem are a set of nonlinear coupled partial differential equations, which are transformed into a nonlinear coupled ordinary differential equation set by a similarity transformation. The transformation results in four dimensionless quantities and their derivatives that appear in the equations. Nine dimensionless parameters are derived via similarity variables, including stretching Reynolds number, magnetic parameter, radiation parameter, Prandtl number, Eckert number, Schmidt number, and three micropolar parameters. Previous similarity solutions focused on analyzing the effect of changes in each parameter on the four dimensionless quantities. However, this type of analysis is mainly mathematical and does not provide practical results. This study’s primary novelty is to redefine the magnetic parameter, Eckert number, stretching Reynolds number, and two micropolar parameters to analyze physical parameters that depend on the stretching rate of the two discs or the distance between them. The semi-analytical hybrid analytical and numerical method (HAN-method) is used to solve the equations. The results demonstrate that structural changes affect all five quantities of radial velocity, axial velocity, microrotation, temperature, and concentration. The study’s most significant finding is that an increase in the stretching rate of the two disks causes a sharp increase in temperature and Nusselt number. Conversely, increasing the distance between the two disks causes a sharp decrease in micro-rotation and wall couple stress. They were compared to a previous study in a specific case to validate the results’ accuracy.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Ahmadi Azar,

Jalili,

Jalili

et al. 2023

Sci Rep

Self Cite

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“…Jalili et al 13 have extensively studied the radiation heat transfer in non-Newtonian fluids under various conditions. The nanofluid stream through the microchannel heat sink and its heat transfer phenomena were studied by Jalili et al 14 Investigations into the heat transfer process with chemical reactions and heat sources in non-Newtonian fluid flows were conducted by Jalili et al 15…”

Section: Introductionmentioning

confidence: 99%

The new analytical and numerical analysis of 2D stretching plates in the presence of a magnetic field and dependent viscosity

Hajizadeh,

Jalili,

Jalili

et al. 2024

Advances in Mechanical Engineering

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This study explores heat transfer in a system involving Jeffery fluid of MHD flow and a porous stretching sheet. The mathematical representation of this system is initially described using a partial differential equation (PDE), which is then converted into an ordinary differential equation (ODE) through numerical techniques such as Lie similarity and transformation methods, along with the shooting approach. The results indicate that altering the variables of Jeffery fluid, heat source, porosity on a stretching sheet, and the physical characteristics of the magnetic field within the system leads to an upward trend. Implementing this enhanced heat transfer system can yield benefits across various domains, including industrial machinery, mass data storage units, electronic device cooling, etc., thereby enhancing heating and cooling processes. Furthermore, the study also utilized Akbari-Ganji’s Method, a new semi-analytical method designed to solve nonlinear differential equations of heat and mass transfer. The results obtained from this method were compared with those from the finite element method for accuracy, efficiency, and simplicity. This research provides valuable insights into heat transfer dynamics in complex systems and offers potential applications in various industrial settings. It also contributes to developing more efficient and effective heat transfer techniques.

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Design of a novel computational procedure for solving electrohydrodynamic flow equation

Roul

Kumari

2023

Soft Comput

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Heat transfer analysis in cylindrical polar system with magnetic field: A novel Hybrid Analytical and Numerical Technique

Cited by 58 publications

References 37 publications

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

Investigating the effect of structural changes of two stretching disks on the dynamics of the MHD model

The new analytical and numerical analysis of 2D stretching plates in the presence of a magnetic field and dependent viscosity

Design of a novel computational procedure for solving electrohydrodynamic flow equation

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