4.7 Article

Hiemenz flow with heat transfer in a slip condition micropolar fluid model: Exact solutions

Related references

Note: Only part of the references are listed.
Article Thermodynamics

Existence of dual solution for micro-polar fluid flow with convective boundary layer in the presence of thermal radiation and suction/injection effects

Ali Raza et al.

Summary: The aim of this research is to investigate the existence of dual solutions for the two-dimensional magneto-hydrodynamics (MHD) flow of a micro-polar fluid in a porous media with thermal radiation and suction/injection effects. By considering the porosity and permeability effects, a micro-polar fluid model is created using the Darcy model. The nonlinear ordinary differential equations are solved in closed form using the incomplete gamma function, and the effects of different parameters on the fluid flow are demonstrated graphically.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER (2022)

Article Thermodynamics

Multiple solutions for nanofluids flow and heat transfer in porous medium with velocity slip and temperature jump

Waqar Khan Usafzai et al.

Summary: This study investigates the fluid flow and heat transfer of water-based nanofluids over a stretching/shrinking permeable sheet with porous environment under velocity slip and temperature jump conditions. By transforming the nonlinear partial differential equations into a set of ordinary differential equations, multiple exact solutions are found for both stretching and shrinking problems. The influence of stretching or shrinking and velocity slip parameters in shaping the flow behavior is reported, along with the presentation of velocity and temperature profiles under various parametric values.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER (2022)

Article Thermodynamics

Slit flow and thermal analysis of micropolar fluids in a symmetric channel with dynamic and permeable

Abuzar Abid Siddiqui et al.

Summary: This study investigates the mass and thermal flow of micropolar fluid in a channel with permeable and moving walls. The mathematical formulation of this physical problem is based on Eringen's micropolar fluid-thermal model. By using the double perturbation method and similarity transformation, closed form solutions for temperature, microspin, and velocity are derived. The results indicate that the micropolar spin boundary layer has a significant influence near the walls of the channel.

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER (2022)

Article Physics, Multidisciplinary

Boundary layer flow of micropolar nanofluid towards a permeable stretching sheet in the presence of porous medium with thermal radiation and viscous dissipation

Muhammad Salman Kausar et al.

Summary: Nanofluids are a new generation of fluids that improve the heat transfer capabilities of conventional fluids. However, current nanofluid models fail to describe fluids with certain microscopic characteristics. This study numerically investigates the laminar two-dimensional heat transfer flow of a micropolar nanofluid containing copper nanoparticles and water through a porous medium over a stretching sheet. The effects of parameters such as micro-rotation, boundary, and suction on velocity, angular velocity, and temperature are analyzed.

CHINESE JOURNAL OF PHYSICS (2022)

Article Physics, Multidisciplinary

Exact multiple solutions of 2-D bidirectional moving plate micropolar hybrid nanofluid flow with heat transfer

Waqar Khan Usafzai et al.

Summary: This study considers the flow of a hybrid copper-aluminum oxide/water mixture over a permeable deforming surface, with the fluid being a non-Newtonian micropolar hybrid nanofluid and subject to velocity slip boundary condition. The main aim is to investigate the existence of unique or multiple exact solutions for the governing system of nonlinear coupled ordinary differential equations that describe the flow and heat fields. By using similarity transformation variables, the model is reduced to a set of solvable nonlinear differential equations. The classification and behavior of the solutions depend on the parameter domains, with critical values defining the positioning and boundaries. The profiles of velocity, microrotation, and temperature in the micropolar fluid exhibit monotonically decaying behavior. Special and dual exact solutions are observed when certain parameter values are reached, and visual analysis is provided to illustrate the influences of the state parameters on wall velocity, angular velocity, wall temperature, and heat transfer rate.

CHINESE JOURNAL OF PHYSICS (2022)

Article Thermodynamics

A study of heat and mass transfer micropolar fluid flow near the stagnation regions of an object

T. Salahuddin et al.

Summary: The analysis focuses on the unsteady magneto-micropolar fluid flow towards a circular object, with particular emphasis on the forward and rare stagnation points. Factors such as heat generation and chemical reactions are considered, along with the influence of a magnetic field on particle motion. Complex mathematical models and calculation methods are used to analyze the flow characteristics in different situations and angles, with a second order convergent scheme employed for solution calculation. A comparative analysis of separation time values is conducted based on tabulated results and graphical representations of concentration, microrotation, velocity, and temperature distributions at stagnation points.

CASE STUDIES IN THERMAL ENGINEERING (2021)

Article Multidisciplinary Sciences

Boundary layer flow of magneto-nanomicropolar liquid over an exponentially elongated porous plate with Joule heating and viscous heating: a numerical study

Puneet Rana et al.

Summary: This study focuses on the numerical simulation of the magneto-Darcy flow of a polarized nanoliquid with Joule heating and viscous heating mechanisms on an exponentially elongated surface. The effects of nanoparticle movement, porous matrix, and heat generation mechanisms are considered. Results show that arbitrary movement of nanoparticles significantly advances temperature distribution and porous matrix reduces nanoliquid velocity.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING (2021)

Article Thermodynamics

Impact of Non-linear Radiation on MHD Non-aligned Stagnation Point Flow of Micropolar Fluid Over a Convective Surface

K. Anantha Kumar et al.

JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS (2018)

Article Thermodynamics

Mixed convection flow of magnetohydrodynamic micropolar fluid due to a porous heated/cooled deformable plate: Exact solutions

M. Turkyilmazoglu

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2017)

Article Mechanics

Flow of a micropolar fluid due to a porous stretching sheet and heat transfer

M. Turkyilmazoglu

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2016)

Article Thermodynamics

A note on micropolar fluid flow and heat transfer over a porous shrinking sheet

M. Turkyilmazoglu

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2014)

Article Thermodynamics

Exact analytical solutions for the flow and heat transfer near the stagnation point on a stretching/shrinking sheet in a Jeffrey fluid

M. Turkyilmazoglu et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2013)

Article Thermodynamics

Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet

Krishnendu Bhattacharyya et al.

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER (2012)

Article Mathematics, Applied

Heat transfer of a generalized stretching/shrinking wall problem with convective boundary conditions

Shanshan Yao et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2011)

Article Computer Science, Interdisciplinary Applications

Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet in a micropolar fluid

Nor Azizah Yacob et al.

COMPUTERS & FLUIDS (2011)

Article Engineering, Chemical

Stagnation-point Flow towards a Stretching Surface

Tapas R. Mahapatra et al.

CANADIAN JOURNAL OF CHEMICAL ENGINEERING (2010)

Article Engineering, Chemical

STAGNATION-POINT FLOW OVER A SHRINKING SHEET IN A MICROPOLAR FLUID

Anuar Ishak et al.

CHEMICAL ENGINEERING COMMUNICATIONS (2010)

Article Mathematics, Applied

Viscous flow over a shrinking sheet with a second order slip flow model

Tiegang Fang et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2010)

Article Thermodynamics

Heat transfer in micropolar fluid along an inclined permeable plate with variable fluid properties

Mohammad M. Rahman et al.

INTERNATIONAL JOURNAL OF THERMAL SCIENCES (2010)

Article Mathematics, Applied

A note on the boundary layer equations with linear slip boundary condition

Miccal T. Matthews et al.

APPLIED MATHEMATICS LETTERS (2008)

Article Mathematics, Applied

Flows of Incompressible Fluids subject to Navier's slip on the boundary

J. Hron et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2008)

Article Mechanics

Stagnation flow towards a shrinking sheet

C. Y. Wang

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2008)

Article Mathematics, Applied

Axisymmetric flow due to a stretching sheet with partial slip

P. Donald Ariel

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2007)

Article Mathematics, Applied

Exact analytical solution for a thermal boundary layer in a saturated porous medium

E. Magyari et al.

APPLIED MATHEMATICS LETTERS (2006)

Article Mechanics

Stagnation point flow of a micropolar fluid towards a stretching sheet

R Nazar et al.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2004)

Article Thermodynamics

Heat transfer in stag nation-point flow towards a stretching sheet

TR Mahapatra et al.

HEAT AND MASS TRANSFER (2002)

Article Engineering, Multidisciplinary

Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet

NA Kelson et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2001)