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Magnetically propelled carreau fluid flow over penetrable sensor surface influenced by thermal radiation,Joule heating and heat generation

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Communications in Theoretical Physics 2022年第2期74卷 9-18页

作者： B J Gireesha B Nagaraja N Srikantha N G Rudraswamy A Felicita Department of Studies and Research in Mathematics Kuvempu UniversityShankaraghattaShivamoggaKarnatakaIndia Department of Mathematics MS Ramaiah Institute of TechnologyBangaloreIndia Department of Mathematics P.C.Jabin Science College(Autonomous)HubballiIndia

This examination emphasizes the analysis of thermal transmission of carreau fluid flow on a permeable sensor surface equipped with radiation,Joule heating,an internal heat source,and a magnetic *** the above effects and assumptions,the equations that administer the flow are formulated.A configured system of equations is productively reduced to a system of ordinary differential *** reduced system is then dealt with using the Runge–Kutta-Fehlberg fourth–fifth order tool equipped by the shooting *** numerical solutions are utilized to plot graphs and *** conclusion of the study outlines some important findings such as the power law index,the thermal radiation parameter and the heat source parameter enhance the thermal panel whereas the Weissenberg number deescalates the *** power law index and permeable velocity decrease the velocity panel *** representation of streamlines of the flow has been given to strengthen the study.A detailed description has been produced about the results obtained in the study.

关键词： sensor surface carreau fluid squeezed flow thermal radiation heat generation

Peristaltic transport of a MHD carreau fluid in a tapered asymmetric channel with permeable walls

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International Journal of Biomathematics 2015年第4期8卷 205-235页

作者： M. Kothandapani J. Prakash S. Srinivas Department of Mathematics University College of Engineering Arni (A Constituent College of Anna University Chennai) Arni 632 326 Tamil Nadu India Department of MathematicsArulmigu Meenakshi Amman College of Engineering Vadamavandal 604410 Tamil Nadu India School of Science and Humanities VIT University Vellore 632 015 Tamil Nadu India

The effect of permeable walls and magnetic field on the peristaltic flow of a carreau fluid in a tapered asymmetric channel is studied. The tapered asymmetric channel is normally created due to the intra-uterine fluid flow induced by myometrial contractions and it was simulated by asymmetric peristaltic fluid flow in a two-dimensional infinite non-uniform channel. The analysis has been performed under long wavelength and low- Reynolds number assumptions to linearize the governing flow equations. A series solution in respect of a small Weissenberg number is obtained for the stream function, axial pressure gradient and shear stress. Time average of pressure rise and frictional force on the upper wall has also been computed using numerical integration. The results have been presented graphically for the various interested physical parameters. It is observed that for carreau fluids the peristalsis works as a pump against a greater pressure rise compared with a Newtonian fluid, while there exists no significant difference in free pumping flux for Newtonian and carreau fluids in the tapered asymmetric channel.

关键词： Peristalsis carreau fluid tapered asymmetric channel MHD permeable walls.

A HYDROMAGNETIC MATHEMATICAL MODEL FOR BLOOD FLOW OF carreau fluid

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International Journal of Biomathematics 2014年第1期7卷 173-186页

作者： NAJMA SALEEM T. HAYAT A. ALSAEDI Department of Mathematics and Natural Sciences Prince Mohammad Bin Fahd University Al Khobar Saudi Arabia Department of Mathematics Quaid-i- Azam University Islamabad 44000 Pakistan Department of Mathematics Faculty of Science King Abdulaziz University P. O. Box 80203 Jeddah 21589 Saudi Arabia

This paper constructs a mathematical model for blood flow through an artery with mild stenosis. Constitutive equations for carreau fluid are employed in the mathematical modeling. Analysis has been carried out in the presence of constant magnetic field. Symmetric and asymmetric shapes of stenosis are taken. Governing flow model is computed for the series solution. Whe flow quantities of interest, for instance, axial velocity, pressure gradient, pressure drop, impedance and shear stress at the walls of stenotic artery are described for various pertinent parameters entering into the problem.

关键词： carreau fluid magnetic field stenotic artery.

Series solution of unsteady peristaltic flow of a carreau fluid in small intestines

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International Journal of Biomathematics 2014年第5期7卷 41-49页

作者： Arshad Ria S. Nadeem R. Ellahi Noreen Sher Akbar Department of Mathematics and Statistics FBAS HU Islamabad 44000 Pakistan Department of Mathematics University of Sargodha Canal Campus Lahore Pakistan Department of MathematicsQuaid-i-Azam University 45320 Islamabad 44000 Pakistan DBSSJH CEMENational University of Sciences and Technology Islamabad Pakistan

The study of peristaltic flow of a carreau fluid in a non-uniform tube under the con- sideration of long wavelength is presented. The flow is investigated in a wave frame of reference moving with velocity of the wave e. Numerical integration has been used to obtain the graphical results for pressure rise and frictional forces. The effects of various emerging parameters are investigated through graphs.

关键词： Peristaltic flow carreau fluid diverging tube perturbation solution.

Perturbation analysis for pulsatile flow of carreau fluid through tapered stenotic arteries

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International Journal of Biomathematics 2016年第4期9卷 259-283页

作者： D. S. Sankar Engineering Mathematics UnitFaculty of Engineering Universiti Teknologi Brunei Gadong BEI~IO Brunei Darussalam

The pulsatile flow of blood in a tapered narrow artery with overlapping time-dependent stenosis is mathematically analyzed, modeling blood as Caxreau fluid. Perturbation method is employed for solving the resulting nonlinear system of equations along with the appropriate boundary conditions. The analytic solutions to the pressure gradient, velocity distribution, flow rate, wall shear stress and longitudinal impedance to flow axe obtained in the asymptotic form. The variation of the aforesaid flow quantities with respect to various physical parameters such as maximum depth of the stenosis, angle of tapering of the artery, power law index, Reynolds number, pulsatile amplitude of the flow and Weissenberg number is investigated. It is found that the wall shear stress and longitudinal impedance to flow increase with the increase of the angle of tapering of the artery, the maximum depth of the stenosis and pulsatile Reynolds number and these decrease with the increase of the amplitude of the flow, power law index and Weis- senberg number. The mean velocity of blood decreases significantly with the increase of the artery radius, maximum depth of the stenosis, angle of tapering of the artery.

关键词： Pulsatile flow carreau fluid overlapping stenosis mean velocity longitudinalimpedance to flow.

Blood flow of carreau fluid in a tapered artery with mixed convection

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International Journal of Biomathematics 2014年第6期7卷 147-166页

作者： Noreen Sher Akbar DBSSJH CEMENational University of Sciences and Technology Islamabad Pakistan

This research is concerned with the mathematical modeling and analysis of blood flow in a tapered artery with stenosis. The analysis has been carried out in the presence of heat and mass transfer. Constitutive equation of carreau fluid has been invoked in the mathematical formulation. The representation of blood flow is considered through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall, shearing stress and resistive impectartce and their growth with the developirtg stenosis is given due attention. Solutions have been obtained for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. Graphical illustrations associated with the tapered arteries namely converging, diverging and non-tapered arteries are examined for different parameters of interest. Streamlines have been plotted and discussed.

关键词： carreau fluid blood flow tapered artery mixed convection heat.

HEAT AND MASS TRANSFER EFFECTS ON carreau fluid MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

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International Journal of Biomathematics 2014年第1期7卷 69-89页

作者： NOREEN SHER AKBAR DBSEH CEME National University of Sciences and Technology Islamabad Pakistan

In the current critique, we deliberate the blood flow through narrowing vein with a steno- sis in the manifestation of heat and mass transmission. The non-Newtonian flora of blood in small veins are examined mathematically by demonstrating the blood as carreau fluid. The illustration for the blood flow is debated through an axially irregular but outward regular stenosis. Regularity in the dissemination of the fortification clipping stress and resistive impedance and their evolution with the emerging stenosis is a new significant feature of our investigation. Analytical solutions have been appraised for ＂velocity, tem- perature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat＂. The graphical consequences of different types of tapering arteries （i.e. ＂converging tapering, diverging tapering, non-tapered artery＂） have been studied for dissimilar constraints of attention. Rivulet shapes have been strategized for different parameters at the culmination of the article.

关键词： carreau fluid blood flow tapered artery stenosis analytical solution heat and mass transfer.

Dissipative flow features of carreau nanofluid with thermal radiation inside plane wall channel:Jeffery-Hamel analysis

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Propulsion and Power Research 2023年第2期12卷 253-272页

作者： Sohail Rehman Hashim Fuad A.MAl-Yarimi Sultan Alqahtani Mohammed Awade Department Mechanical Engineering School of Material Sciences and EngineeringGeorgia Institute of TechnologyAtlantaGAUSA Department of Mathematics and Statistics University of HaripurHaripur 22620Pakistan Department of Computer Science King Khalid UniversityMuhayel AseerSaudi Arabia College of Engineering Mechanical Engineering DepartmentKing Khalid UniversityAbhaSaudi Arabia Department of Information Systems King Khalid UniversityMuhayel AseerSaudi Arabia

The current article communicates a numerical investigation on laminar flow of dissipative generalized Newtonian carreau nanofluid flowing through vertical conduit with converging and diverging plane *** and concentration characteristics due to enthalpy change,activation energy,and non-linear thermal radiation have been examined in the presence of buoyancy *** channel walls for both temperature and volumetric fraction are assumed to be *** instability mechanism of nanofluids is reported using a two-phase nanofluid model,which works reasonably well for nanoparticle concentrations below a certain threshold.A Jeffery-Hamel(J-H)flow model is developed by assuming an incompressible purely radial flow of carreau nanofluids with heat and mass *** the suitable non-dimensional variables,the resulting nonlinear partial differential equations are turned into a system of ordinary differential *** modified governing equations are then numerically solved using the built-in boundary value problem solver bvp4c,on the template form of commercial software *** impacts of material,geometrical and thermophysical parameters governing the J-H problem are discussed and *** indicate that higher buoyance forces incline the velocity profiles in converging enclosure,while a slight reduction is perceived in opposing forces.A significant decrease of wall heat transmission is reflected for larger values of activation energy and radiation *** endorsing this communication,a comparison analysis is established with existing research and noticed a remarkable ***,the flow inside converging and diverging channels are deployed in nuclear reactors that use plate-type nuclear energies,high heat-flux condensed heat exchangers,high-performance micro-electronic cooling systems,jets,rockets nozzles,and jet propulsion inlet.

关键词： Nanofluids Buoyancy forces Converging/diverging channels Thermal radiation Activation energy carreau fluid

An investigation of non-Newtonian fluid flow due to metachronal beating of cilia in a tube

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International Journal of Biomathematics 2015年第2期8卷 29-51页

作者： A. M. Siddiqui A. A. Farooq M. A. Rana Department of Mathematics Pennsylvania State University York Campus York PA 17403-3398 USA Department of Basic Sciences Riphah International University Islamabad 44000 Pakistan Department of Mathematics COMSATS Institute of Information Technology Tobe Camp Abbottabad Pakistan

The aim of this study is to explain theoretically the role of ciliary motion on the transport of epididymal fluid through the ductus efferentes of the male reproductive track. For this purpose, a mathematical model has been developed for the flow of a non-Newtonian fluid in an axisymmetric tube due to metachronal wave of cilia motion for the more realistic consequences. carreau viscous fluid model is considered to see the rheological effects on the pumping characteristics of the flow. Regular perturbation method has been employed to obtain the analytical expressions for the stream function, the velocity field and a relation between the pressure difference and the volume flow rate. It is found that the volume flow rate is influenced significantly by Weissenberg number We and the cilia length parameter ε. The computational results are presented graphically to see the effects of various physical parameters. Finally, the analysis is applied and compared with the observed value of the flow rate of spermatic fluid in the ductus efferentes of the male reproductive track. The volume flow rate is reported closed to the estimated value 6 × 10^-3 ml/h in the human ductus efferentes when We = 0.5 and e is near by 0.25.

关键词： Cilia-induced motion axisymmetric tube metachronal wave carreau fluid analytic solutions pumping and trapping.