The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel

Nadeem, S.; Maraj, E.N.

doi:10.1088/0253-6102/59/6/14

Cited by 67 publications

(26 citation statements)

References 16 publications

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“…Kumar et al (2017b) discussed an unsteady squeezed flow of a tangent hyperbolic fluid over a sensor surface in the presence of variable thermal conductivity. Nadeem and Maraj (2013) initiated the mathematical analysis for peristaltic flow of tangent hyperbolic fluid in a curved channel.…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Kumar

Gireesha

Gorla

2018

Int J Mech Mater Eng

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Background: This paper explores the impact of thermal radiation on boundary layer flow of dusty hyperbolic tangent fluid over a stretching sheet in the presence of magnetic field. The flow is generated by the action of two equal and opposite. A uniform magnetic field is imposed along the y-axis and the sheet being stretched with the velocity along the x-axis. The number density is assumed to be constant and volume fraction of dust particles is neglected. The fluid and dust particles motions are coupled only through drag and heat transfer between them. Methods: The method of solution involves similarity transformation which reduces the partial differential equations into a non-linear ordinary differential equation. These non-linear ordinary differential equations have been solved by applying Runge-Kutta-Fehlberg forth-fifth order method (RKF45 Method) with help of shooting technique. Results: The velocity and temperature profile for each fluid and dust phase are aforethought to research the influence of assorted flow dominant parameters. The numerical values for skin friction coefficient and Nusselt number are maintained in Tables 3 and 4. The numerical results of a present investigation are compared with previous published results and located to be sensible agreement as shown in Tables 1 and 2. Conclusion: It is scrutinized that, the temperature profile and corresponding boundary layer thickness was depressed by uplifting the Prandtl number. Further, an increase in the thermal boundary layer thickness and decrease in momentum boundary layer thickness was observed for the increasing values of the magnetic parameter.

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Section: Introductionmentioning

confidence: 99%

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Kumar

Gireesha

Gorla

2018

Int J Mech Mater Eng

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“…Where the constitutive equation for hyperbolic tangent fluid is given by Nadeem et al (2009Nadeem et al ( , 2013Nadeem et al ( , 2015 , …”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…However no work has done yet for blood flow in a curved artery (channel) with stenosis but some work has done for peristalsis. Nadeem et al (2013) discussed the peristaltic flow of the tangent hyperbolic fluid in a curved symmetric channel with sinusoidal waves.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Shear Thinning Hyperbolic Tangent Fluid Model for Blood Flow in Curved Artery with Stenosis

Nadeem

Ijaz

2016

JAFM

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In this paper, we have considered the blood flow in a curved channel with abnormal development of stenosis in an axis-symmetric manner. The constitutive equations for incompressible and steady non-Newtonian tangent hyperbolic fluid have been modeled under the mild stenosis case. A perturbation technique and homotopy perturbation technique have been used to obtain analytical solutions for the wall shear stress, resistance impedance to flow, wall shear stress at the stenosis throat and velocity profile. The obtained results have been discussed for different tapered arteries i.e., diverging tapering, converging tapering, non-tapered arteries with the help of different parameters of interest and found that tapering dominant the curvature of the curved channel.

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“…Nadeem and Akram [12] addressed the peristaltic pumping of a hyperbolic tangent fluid through an asymmetric channel. Nadeem and Maraj [13] studied mathematically the peristaltic motion of a hyperbolic tangent fluid in a curved channel with the help of Homotopic perturbation method. Ali Abbas et al [14] reported the 3D peristaltic pumping of hyperbolic tangent fluid with flexible walls.…”

Section: Introductionmentioning

confidence: 99%

MHD peristaltic flow of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer

Saravana¹,

Reddy

Goud

et al. 2017

IOP Conf. Ser.: Mater. Sci. Eng.

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IntroductionThe term peristalsis means clasping and compressing. The peristaltic action occurs in the form of successive waves of involuntary muscular contractions passing along the walls and forcing the contents onward. In physiological situations, the mechanism is found in esophagus, stomach, intestines, small blood vessels, fallopian tube, ureter and gut. The peristaltic mechanism has been attracting the attention of bioengineers because of its importance in living body system and in the design of biomedical instruments such as dialysis machines, open-heart bypass pump machines, artificial lungs and tissues. Several attempts have been made by considering physiological fluids as Newtonian. A few investigations pertaining to peristaltic flow of Newtonian fluids have been reported in [1][2][3][4][5]. Further, some interesting results has been put forward in rheological complex physiological fluids such as blood (Power-law model, Casson model and Herschel -Bulkley model), chyme (Williamson model), bread and white eggs through esophagus (Maxwell model)and urine infection (couple-stress model) to be non-Newtonian during pumping for details, see [6][7][8][9][10][11]. Among non-Newtonian fluids, hyperbolic tangent fluid model characterize the flow behaviour of shear thinning fluids. Nadeem and Akram [12] addressed the peristaltic pumping of a hyperbolic tangent fluid through an asymmetric channel. Nadeem and Maraj [13] studied mathematically the peristaltic motion of a hyperbolic tangent fluid in a curved channel with the help of Homotopic perturbation method. Ali Abbas et al. [14] reported the 3D peristaltic pumping of hyperbolic tangent fluid with flexible walls.Peristaltic flow with temperature and mass transfer effects has been exploited by many authors in order to conduct diverse investigations in biomedical and biomechanical sciences. The Biological heat transfer in a living system include thermal conduction in tissue, metabolic heat generation, burn injuries, fever, perfusion of blood flow and hyperthermia. The biological mass transfer process include glucose diffusion into the cell, absorption of proteins and peptides, liquid diffusion in tissues, drug delivery across absorption barriers. Saravanaet al. [15] analysed mathematically the peristaltic transport of a third grade fluid through an inclined asymmetric channel by taking temperature and concentration effects into account. A few investigations on peristalsis with temperature and concentration effects have been reported in [16][17][18].The influence of magnetic field may be useful to slow down the blood flow in human arterial system, controls the blood flow velocities in surgical procedures. The slip condition proposed by Navier [19] has importance in studying the flow at the fluid-wall interface and it may be more realistic model observed in gastrointestinal tract and in the flow of polymer solutions. Akram and Nadeem [20] addressed the slip effects on peristaltic motion of a hyperbolic tangent fluid model through an

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The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel

Cited by 67 publications

References 16 publications

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Flow and heat transfer of dusty hyperbolic tangent fluid over a stretching sheet in the presence of thermal radiation and magnetic field

Theoretical Analysis of Shear Thinning Hyperbolic Tangent Fluid Model for Blood Flow in Curved Artery with Stenosis

MHD peristaltic flow of a hyperbolic tangent fluid in a non-uniform channel with heat and mass transfer

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