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Anomalous reactivity of thermo-bioconvective nanofluid towards oxytactic microorganisms

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Applied mathematics and mechanics(English Edition) 2020年第5期41卷 711-724页

作者： S.I.ABDELSALAm m.m.bhatti Basic Science Department Faculty of EngineeringThe British University in EgyptAl-Shorouk CityCairo 11837Egypt Instituto de matemáticas-Juriquilla Universidad Nacional Autónoma de MéxicoBlvd.Juriquilla 3001Quer´etaro 76230M´exico College of mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590Shandong ProvinceChina

The peristaltic flow of a non-Newtonian nanofluid with swimming oxytactic microorganisms through a space between two infinite coaxial conduits is investigated. A variable magnetic field is applied on the flow. The bioconvection flow and heat transfer in the porous annulus are formulated, and appropriate transformations are used, leading to the non-dimensionalized ruling partial differential equation model. The model is then solved by using the homotopy perturbation scheme. The effects of the germane parameters on the velocity profile, temperature distribution, concentration distribution, motile microorganism profile, oxytactic profile, pressure rise, and outer and inner tube friction forces for the blood clot and endoscopic effects are analyzed and presented *** is noticed that the pressure rise and friction forces attain smaller values for the endoscopic model than for the blood clot model. The present analysis is believed to aid applications constituting hemodynamic structures playing indispensable roles inside the human body since some blood clotting disorders, e.g., haemophilia, occur when some blood constituents on the artery wall get confined away from the wall joining the circulation system.

关键词： oxytactic swimming microorganism swimming variable magnetic field blood clotting endoscopy non-Newtonian fluid

Simultaneous effects of chemical reaction and Ohmic heating with heat and mass transfer over a stretching surface: A numerical study

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Chinese Journal of Chemical Engineering 2017年第9期25卷 1137-1142页

作者： S.R.mishra m.m.bhatti Department of mathematics Siksha ‘O’ Anusandhan University Shanghai Institute of Applied mathematics and mechanics Shanghai University

In this article, we have considered the simultaneous influence of ohmic heating and chemical reaction on heat and mass transfer over a stretching sheet. The effects of applied magnetic field are also taken into consideration while the induced magnetic field is not considered due to very small magnetics Reynolds number. The governing flow problem comprises of momentum, continuity, thermal energy and concentration equation which are transformed into highly nonlinear coupled ordinary differential equations by means of similarity transforms, which are then, solved numerically with the help of Successive Linearization method(SLm) and Chebyshev Spectral collocation method. Numerical values of skin friction coefficient, local Nusselt number, and Sherwood number are also taken into account with the help of tables. The physical influence of the involved parameters of flow velocity, temperature and concentration distribution is discussed and demonstrated graphically. The numerical comparison is also presented with the existing published results and found that the present results are in excellent agreement which also confirms the validity of the present methodology.

关键词： Ohmic heating Heat and mass transfer Chemical reaction Successive linearization method

Swimming of motile gyrotactic microorganisms and suspension of nanoparticles in a rheological Jeffery fluid with Newtonian heating along elastic surface

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Journal of Central South University 2021年第11期28卷 3279-3296页

作者： Siddra RANA Rashid mEHmOOD m.m.bhatti mohsan HASSAN Department of mathematics Faculty of Basic Sciences University ofWahWah CanttPakistan Department of mathematics Faculty of Natural SciencesHITEC UniversityTaxila CanttPakistan College of mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China Department of mathematics Comsats University IslamabadLahore CampusPakistan

Bioconvection plays an inevitable role in introducing sustainable and environment-friendly fuel cell ***-mathematical modelling of such designs needs continuous refinements to achieve strong agreements in experimental and computational ***,microorganisms transport a miscellaneous palette of ingredients in manufacturing industrial goods particularly in fertilizer *** transfer characteristics of molecular structure are measured by a physical phenomenon which is allied with the transpiration of heat within *** by bioinspired fuel cells involved in near-surface flow phenomena,in the present article,we examine the transverse swimming of motile gyrotactic microorganisms numerically in a rheological Jeffery fluid near a stretching *** leading physical model is converted in a nonlinear system of ODEs through proper similarity alterations.A numerical technique called shooting method with R-K Fehlberg is applied via mathematical software and graphical presentations are *** influence of all relative physical constraints on velocity,temperature,concentration,and volume fraction of gyrotactic microorganisms is expressed *** is found that heat and mass flux at the surface as well as density of motile microorganism’s declines for Brownian motion and thermophoresis *** in tabular form is made with existing literature to validate the results for limiting cases with convective boundary conditions.

关键词： oblique stagnation point flow Jeffery fluid bioconvection swimming of motile gyrotactic nanoparticles

含微小颗粒的非牛顿生物Sutterby流体在感应磁场旋转圆盘上的流动性

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中南大学学报:英文版 2023年第8期30卷 2599-2615页

作者： m.B.ARAIN A.ZEESHAN m.m.bhatti mohammed Sh.ALHODALY R.ELLAHI Department of mathematics and Statistics International Islamic UniversityIslamabad 44000Pakistan College of mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China Nonlinear Analysis and Applied mathematics(NAAm)-Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

本研究的主要目标是研究含有微小颗粒的非牛顿Sutterby流体的流动性,以及微生物回旋运动引起感应磁场的影响。流动设置在一对圆盘之间,圆盘间充满了含有微小颗粒和趋旋微生物的Sutterby流体。在流动控制中考虑了Arrhenius动力学和热辐... 详细信息

本研究的主要目标是研究含有微小颗粒的非牛顿Sutterby流体的流动性,以及微生物回旋运动引起感应磁场的影响。流动设置在一对圆盘之间,圆盘间充满了含有微小颗粒和趋旋微生物的Sutterby流体。在流动控制中考虑了Arrhenius动力学和热辐射的影响。利用相关的相似变换将所建立的数学模型修改为非线性常微分方程。为了计算非线性常微分方程的数值解,使用微分变换程序(DTm)。对于非线性问题,积分变换技术执行难度大。因此,使用基于Taylor展开的微分变换方法以获得多项式解作为解析解。为了提高公式化数学建模的收敛性,将Padé近似与微分变换方法相结合。讨论了不同无量纲因子对速度、温度场、浓度分布和运动回旋微生物剖面的影响,用表格形式对两块板上的扭矩进行计算和显示。

关键词：平行圆盘趋旋微生物活化能广义磁雷诺数微分变换解

Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids

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Applied mathematics and mechanics(English Edition) 2020年第4期41卷 637-654页

作者： Lijun ZHANG m.B.ARAIN m.m.bhatti A.ZEESHAN H.HAL-SULAmI College of mathematics and Systems Science Shandong University of Science and Technology Nonlinear Analysis and Applied mathematics (NAAm)-Research Group Department of Mathematics Faculty of Science King Abdulaziz University Department of mathematics and Statistics International Islamic University

The three-dimensional(3D) nano?uid ?ow among the rotating circular plates ?lled with nanoparticles and gyrotactic microorganisms is studied. A generalized form of the magnetic Reynolds number is used for the mathematical modeling of the ferro-nano?uid ?ow. The torque e?ects on the lower and upper plates are calculated.A di?erential transform scheme with the Pad′e approximation is used to solve the coupled highly nonlinear ordinary di?erential equations. The results show that the squeeze Reynolds number signi?cantly suppresses the temperature, microorganism, and nanoparticle concentration distribution, and agree well with those obtained by the numerical method.

关键词： swimming of microorganism generalized magnetic Reynolds number nanofluid differential transform solution circular rotating plate

Head-on collision between two hydroelastic solitary waves with Plotnikov-Toland's plate model

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Theoretical & Applied mechanics Letters 2018年第6期8卷 384-392,I0004页

作者： m.m.bhatti D.Q.Lu Shanghai Institute of Applied mathematics and mechanics Shanghai UniversityShanghai 200072China Shanghai Key Laboratory of mechanics in Energy Engineering Shanghai 200072China

Head-on collision between two hydroelastic solitary waves propagating at the surface of an incompressible and ideal fluid covered by a thin ice sheet is analytically studied by means of a singular perturbation method. The ice sheet is represented by the Plotnikov-Toland model with the help of the special Cosserat theory of hyperelastic shells and the Kirchhoff-Love plate theory,which yields the nonlinear and conservative expression for the bending forces. The shallow water assumption is taken for the fluid motion with the Boussinesq approximation. The resulting governing equations are solved asymptotically with the aid of the Poincaré-Lighthill-Kuo method,and the solutions up to the third order are explicitly presented. It is observed that solitary waves after collision do not change their shapes and amplitudes. The wave profile is symmetric before collision, and it becomes, after collision, unsymmetric and titled backward in the direction of wave propagation. The wave profile significantly reduces due to greater impacts of elastic plate and surface tension. A graphical comparison is presented with published results, and the graphical comparison between linear and nonlinear elastic plate models is also shown as a special case of our study.

关键词： Head-on collision Hydroelastic solitary waves Ice sheet PLK method

Study of heat and mass transfer with Joule heating on magnetohydrodynamic(mHD)peristaltic blood flow under the influence of Hall effect

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Propulsion and Power Research 2017年第3期6卷 177-185页

作者： m.m.bhatti m.m.Rashidi Shanghai Institute of Applied mathematics and mechanics Shanghai UniversityShanghai 200072China Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal management Systems Tongji UniversityShanghai 201804China ENN-Tongji Clean Energy Institute of Advanced Studies Shanghai 200072China

In this article,heat and mass transfer with Joule heating on magnetohydrodynamic(mHD)peristaltic blood under the influence of Hall effect is *** modelling is based on momentum,energy and concentration which are taken into account using ohms *** governing partial differential equations are further simplified by neglecting the inertial forces and long wavelength *** solutions have been presented for velocity,temperature and concentration *** influence of all the physical pertinent parameters is taken into account with the help *** is found that Hartmann number and Hall parameter shows opposite behaviour on velocity,temperature and concentration *** is worth mentioning that pressure rise also depicts opposite behaviour for Hartmann number and Hall *** present analysis is also presented for Newtonian fluid(α→0)as a special case for our *** is observed that Hall Effect and magnetic field shows opposite behaviour on velocity and temperature *** profile increases due to the increment in Prandtl number and Eckert *** comparison is also presented between the existing published results by takingα=0;m=0 as a special case of our study.

关键词： Heat and mass transfer Joule heating Ohms law Blood flow Ree–Eyring fluid

Hydromagnetic Blood Flow of Sisko Fluid in a Non-uniform Channel Induced by Peristaltic Wave

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Communications in Theoretical Physics 2017年第7期67卷 103-110页

作者： A.Zeeshan m.m.bhatti N.S.Akbar Y.Sajjad Government Boys Degree College Afzalpur Mirpur Azad Kashmir Pakistan

In this paper, a smooth repetitive osciflating wave traveling down the elastic walls of a non-uniform two- dimensional channels is considered. It is assumed that the fluid is electrically conducting and a uniform magnetic field is perpendicular to flow. The Sisko fluid is grease thick non-Newtonian fluid can be considered equivalent to blood. Taking long wavelength and low Reynolds number, the equations are reduced. The analytical solution of the emerging non-linear differential equation is obtained by employing Homotopy Perturbation method （HPm）. The outcomes for dimensionless flow rate and dimensionless pressure rise have been computed numerically with respect to sundry concerning parameters amplitude ratio , Hartmann number m, and Sisko fluid parameter bl. The behaviors for pressure rise and average friction have been discussed in details and displayed graphically. Numerical and graphical comparison of Newtonian and non-Newtonian has also been evaluated for velocity and pressure rise. It is observed that the magnitude of pressure rise is maximum in the middle of the channel whereas for higher values of fluid parameter it increases. Further, it is also found that the velocity profile shows converse behavior along the walls of the channel against multiple values of fluid parameter.

关键词： blood flow peristaltic flow Sisko fluid non-uniform channel

Detailed analysis of the relativistic configuration of Bardeen anisotropic spheres in modified f(G)gravity

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Communications in Theoretical Physics 2024年第6期76卷 45-56页

作者： Adnan malik Ayesha Almas Tayyaba Naz Rubab manzoor m Z bhatti School of mathematical Sciences Zhejiang Normal UniversityJinhuaZhejiangChina Department of mathematics University of Management and TechnologySialkot CampusLahorePakistan National University of Computer and Emerging Sciences Lahore CampusPakistan Department of mathematics University of Management and TechnologyJohar Town CampusLahore 54782Pakistan Department of mathematics University of the PunjabQuaid-i-Azam CampusLahore-54590Pakistan

The aim of this work is to investigate anisotropic compact objects within the framework of f(G)modified theory of *** our present work,we utilize Krori-Barua metrics,i.e.,λ(r)=Xr^(2)+Y andβ(r)=Zr^(2).We use some matching conditions of spherically symmetric spacetime with Bardeen's model as an exterior ***,we establish some expressions of energy density and pressure components to analyze the stellar configuration of Bardeen compact stars by assuming viable f(G)*** examine the energy conditions for different stellar structures to verify the viability of our considered ***,we also investigate some other physical features,such as equilibrium condition,equation of state parameters,adiabatic index,stability analysis,mass function,surface redshift,and compactness factor,*** is worthwhile to mention here for the current study that our stellar structure in the background of Bardeen's model is more viable and stable.

关键词： Bardeen compact stars f(G)modified gravity Krori-Barua potential