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Elboughdiri N, Javid K, Ahmed I, Naz H, Khan SU, Salih AA, Girigoswami A. Peristaltic pumping of hybrid nanofluid between concentric tubes with magnetic device effects: Applications to human endoscopy. J INDIAN CHEM SOC 2022. [DOI: 10.1016/j.jics.2022.100710] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Peristaltic Blood Transport in Non-Newtonian Fluid Confined by Porous Soaked Tube: A Numerical Study Through Galerkin Finite Element Technique. ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING 2022. [DOI: 10.1007/s13369-021-05981-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Numerical Investigation of MHD Pulsatile Flow of Micropolar Fluid in a Channel with Symmetrically Constricted Walls. MATHEMATICS 2021. [DOI: 10.3390/math9091000] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
This article presented an analysis of the pulsatile flow of non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on the walls. The governing equations were first converted into the vorticity–stream function form, and a finite difference-based solver was used to solve it numerically on a Cartesian grid. The impacts of different flow controlling parameters, including the Hartman number, Strouhal number, Reynolds number, and MP parameter on the flow profiles, were studied. The wall shear stress (WSS), axial, and micro-rotation velocity profiles were depicted visually. The streamlines and vorticity patterns of the flow were also sketched. It is evident from the numerical results that the flow separation region near constriction as well as flattening of the axial velocity component is effectively controlled by the Hartmann number. At the maximum flow rate, the WSS attained its peak. The WSS increased in both the Hartmann number and Reynolds number, whereas it declined with the higher values of the MP parameter. The micro-rotation velocity increased in the Reynolds number, and it declined with increment in the MP parameter.
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Ge-JiLe H, Javid K, Khan SU, Raza M, Khan MI, Qayyum S. Double diffusive convection and Hall effect in creeping flow of viscous nanofluid through a convergent microchannel: a biotechnological applications. Comput Methods Biomech Biomed Engin 2021; 24:1326-1343. [PMID: 33622097 DOI: 10.1080/10255842.2021.1888373] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Abstract
Current analysis presents the mathematical modeling for peristaltic transport of nanofluid with applications of double-diffusive convection and Hall features. The flow has been induced by a convergent channel due to peristaltic propulsion. These rheological equations are transformed from fixed to wave frames by using a linear mathematical relation between these two frames. The dimensionless variables are used to transform these rheological equations into nondimensional forms. The flow analysis is carried out under two distinct scientific biological assumptions, one is known as long wavelength and the second one is low Reynolds number. The analytical solutions of these rheological equations are obtained with the help of a rigorous analytical method known as integration in the term of stream function. The physical effects of magnetic and Hall devices, respectively, on the flow features are also considered in the present analysis. The physical influences of dominant hydro-mechanical parameters on the axial velocity, pressure gradient, trapping, volumetric fraction of nanofluid, heat and mass transfer phenomena are studied. The complex scenario of biomimetic propulsions are considered in boundary walls to boost the proficiency of peristaltic micropumps.
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Affiliation(s)
- Hu Ge-JiLe
- School of Science, Huzhou University, Huzhou, P. R. China
| | - Khurram Javid
- Department of Mathematics, Northern University, Khyber Pakhtunkhwa, Pakistan
| | - Sami Ullah Khan
- Department of Mathematics, COMSATS Univeristy Islamabad, Sahiwal, Pakistan
| | - Mohsin Raza
- Department of Mathematics, Northern University, Khyber Pakhtunkhwa, Pakistan
| | - M Ijaz Khan
- Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
| | - Sumaira Qayyum
- Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan
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Kanwal M, Wang X, Shahzad H, Chen Y, Sajid M. Mathematical modeling of micropolar fluid in blade coating using lubrication theory. SN APPLIED SCIENCES 2020. [DOI: 10.1007/s42452-020-2316-0] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022] Open
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MHD Effects on Ciliary-Induced Peristaltic Flow Coatings with Rheological Hybrid Nanofluid. COATINGS 2020. [DOI: 10.3390/coatings10020186] [Citation(s) in RCA: 41] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Present theoretical investigation is a mathematical illustration of an application to endoscopy by incorporating hybrid nanoparticles and an induced magnetic field with a rheological fluid model for more realistic results. Rheological fluid behavior is characterized by the Ostwald-de-Waele power-law model. A hybrid nanofluid mechanism is considered comprising platelet-shaped nanoparticles since nanoparticles are potential drug transportation tools in biomedical applications. Moreover, ciliary activity is encountered regarding their extensive applications in performing complex functions along with buoyancy effects. An endoscope is inserted inside a ciliated tube and peristalsis occurred due to ciliary activity in the gap between tube and endoscope. A non-Newtonian model is developed by mathematical formulation which is tackled analytically using homotopy analysis. The outcomes are interpreted graphically along with the pressure rise and streamlining configuration for the case of negligible inertial forces and long wavelength. A three-dimensional graphical interpretation of axial velocity is studied as well. Moreover, tables are prepared and displayed for a more physical insight.
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Ali N, Atif HM, Javed MA, Sajid M. A mathematical model of the calendered exiting thickness of micropolar sheet. POLYM ENG SCI 2017. [DOI: 10.1002/pen.24578] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Nasir Ali
- Department of Mathematics & Statistics; International Islamic University; Islamabad 44000 Pakistan
| | - Hafiz Muhammad Atif
- Department of Mathematics & Statistics; International Islamic University; Islamabad 44000 Pakistan
| | - Muhammad Asif Javed
- Department of Mathematics & Statistics; International Islamic University; Islamabad 44000 Pakistan
| | - Muhammad Sajid
- Department of Mathematics & Statistics; International Islamic University; Islamabad 44000 Pakistan
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Study of variable magnetic field and endoscope on peristaltic blood flow of particle-fluid suspension through an annulus. Biomed Eng Lett 2016. [DOI: 10.1007/s13534-016-0226-2] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022] Open
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RAMESH K, DEVAKAR M. THE EFFECTS OF ENDOSCOPE AND HEAT TRANSFER ON THE PERISTALTIC FLOW OF A SECOND GRADE FLUID IN AN INCLINED TUBE. J MECH MED BIOL 2016. [DOI: 10.1142/s0219519416500573] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In the present paper, we have studied the effects of endoscope and heat transfer on the peristaltic flow of second grade fluid through an inclined tube. The endoscope is a solid circular cylinder which is inserted in a peristaltic tube, and the flow takes place through the gap between endoscope and the peristaltic tube. The endoscope is maintained at a temperature [Formula: see text], while the outer tube has a sinusoidal wave traveling down its wall and is exposed to temperature [Formula: see text]. The flow is investigated in a wave frame of reference moving with the velocity of the wave. The equations governing the flow of second grade fluid are modeled in cylindrical coordinates. Using perturbation method, the solutions are obtained for the stream function, pressure gradient and temperature fields. The pressure difference and frictional force at both the walls are calculated using numerical integration. The graphical results are presented to interpret the effect of various physical parameters of interest. It is found that, velocity increases with an increase in inclination angle and the best pumping rate appear in the vertical tube as compared to the horizontal tube. It is also found that, the heat generation parameter has an increasing effect on the velocity of the fluid.
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Affiliation(s)
- K. RAMESH
- Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
| | - M. DEVAKAR
- Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur 440010, India
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Awais M, Farooq S, Yasmin H, Hayat T, Alsaedi A. Convective heat transfer analysis for MHD peristaltic flow in an asymmetric channel. INT J BIOMATH 2014. [DOI: 10.1142/s1793524514500235] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Magnetohydrodynamic peristaltic flow of Jeffery fluid in an asymmetric channel is addressed. The channel walls satisfy the convective conditions. Asymmetry here is considered due to wave trains of different amplitudes and phases. Solutions for the velocity, temperature and pressure gradient are obtained using long wavelength approximation. Plots reflecting the impact of various parameters of interest are shown and examined.
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Affiliation(s)
- M. Awais
- Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
| | - S. Farooq
- Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan
| | - H. Yasmin
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
| | - T. Hayat
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
- Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
| | - A. Alsaedi
- Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
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TRIPATHI DHARMENDRA, BÉG OANWAR. MAGNETOHYDRODYNAMIC PERISTALTIC FLOW OF A COUPLE STRESS FLUID THROUGH COAXIAL CHANNELS CONTAINING A POROUS MEDIUM. J MECH MED BIOL 2012. [DOI: 10.1142/s0219519412500881] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This article studies the hydromagnetic peristaltic flow of couple stress fluids through the gap between two concentric channels containing a Darcian porous medium, with the inner channel being rigid. A sinusoidal wave propagates along the outer channel. Long wavelength and low Reynolds number assumptions are used. The effects of couple stress parameter, magnetic field, permeability, and the channel ratio width on pressure and frictional forces on the inner and outer channels are depicted graphically. Mechanical efficiency and trapping are also studied. Pressure diminishes with increasing coupling and permeability parameters whereas it increases with Hartmann number and channel width ratio. Applications of the model include transport of complex bio-waste fluids and magnetic field control of gastro-intestinal disorders.
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Affiliation(s)
- DHARMENDRA TRIPATHI
- Department of Mathematics, Indian Institute of Technology Ropar, Punjab-140001, India
| | - O. ANWAR BÉG
- Aerospace Engineering, Department of Engineering and Mathematics, Sheffield Hallam University, Sheffield, S1 1WB, UK, England, UK
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Faltas M, Sherief H, Ashmawy E. Interaction of two spherical particles rotating in a micropolar fluid. MATHEMATICAL AND COMPUTER MODELLING 2012; 56:229-239. [DOI: 10.1016/j.mcm.2011.11.072] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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Hayat T, Noreen S, Obaidat S. PERISTALTIC MOTION OF AN OLDROYD-B FLUID WITH INDUCED MAGNETIC FIELD. CHEM ENG COMMUN 2012. [DOI: 10.1080/00986445.2011.592448] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Nadeem S, Akbar NS, Hayat T, Hendi AA. Numerical and series solutions of the peristaltic motion of an Oldroyd 8-constant fluid in an endoscope. Comput Methods Biomech Biomed Engin 2011; 14:987-93. [DOI: 10.1080/10255842.2010.503960] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Hayat T, Noreen S, Asghar S, Hendi A. INFLUENCE OF AN INDUCED MAGNETIC FIELD ON PERISTALTIC TRANSPORT IN AN ASYMMETRIC CHANNEL. CHEM ENG COMMUN 2011. [DOI: 10.1080/00986445.2011.532696] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Mekheimer K, Husseny S, Elmaboud YA. Effects of heat transfer and space porosity on peristaltic flow in a vertical asymmetric channel. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 2009:NA-NA. [DOI: 10.1002/num.20451] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
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