The present article aims to examine the heat and mass distribution in a free convection flow of electrically conducted,generalized Jeffrey nanofluid in a heated rotatory system.The flow analysis is considered in the p...The present article aims to examine the heat and mass distribution in a free convection flow of electrically conducted,generalized Jeffrey nanofluid in a heated rotatory system.The flow analysis is considered in the presence of thermal radiation and the transverse magnetic field of strength B0.The medium is porous accepting generalized Darcy’s law.The motion of the fluid is due to the cosine oscillations of the plate.Nanofluid has been formed by the uniform dispersing of the Silver nanoparticles in regular engine oil.The problem has been modeled in the form of classical partial differential equations and then generalized by replacing time derivative with Atangana–Baleanu(AB)time-fractional derivative.Upon taking the Laplace transform technique(LTT)and using physical boundary conditions,exact expressions have been obtained for momentum,energy,and concentration distributions.The impact of a number of parameters on fluid flow is shown graphically.The numerical tables have been computed for variation in the rate of heat and mass transfer with respect to rooted parameters.Finally,the classical solution is recovered by taking the fractional parameter approaching unity.It is worth noting that by adding silver nanoparticles in regular engine oil,its heat transfer rate increased by 14.59%,which will improve the life and workability of the engine.展开更多
It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the equation.Therefore,this article aims to investigate the viscous dissipation(VD)...It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the equation.Therefore,this article aims to investigate the viscous dissipation(VD)effect on the fractional model of Jeffrey fluid over a heated vertical flat plate that suddenly moves in its own plane.Based on the Atangana-Baleanu operator,the fractional model is developed from the fractional constitutive equations.VD is responsible for the non-linear behavior in the problem.Upon taking the Laplace and Fourier sine transforms,exact expressions have been obtained for momentum and energy equations.The influence of relative parameters on fluid flow and temperature distribution is shown graphically.As special cases,and for the sake of correctness,the corresponding results for second-grade fluid and Newtonian viscous fluid are also obtained.It is interesting to note that fractional parameterαprovides more than one line as compared to the classical model.This effect represents the memory effect in the fluid which is not possible to elaborate by the classical model.It is also worth noting that the temperature profile of the generalized Jeffrey fluid rises for higher values of Eckert number which is due to the enthalpy difference of the boundary layer.展开更多
It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased...It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased industrial applications.Because of its wide range of applications,this study aims at evaluating the solutions corresponding to Casson fluids’oscillating flow using fractional-derivatives.As it has a combined mass-heat transfer effect,we considered the fluid flow upon an oscillatory infinite vertical-plate.Furthermore,we used two new fractional approaches of fractional derivatives,named AB(Atangana–Baleanu)and CF(Caputo–Fabrizio),on dimensionless governing equations and then we compared their results.The Laplace transformation technique is used to get the most accurate solutions of oscillating motion of any generalized Casson fluid because of the Cosine oscillation passed over the infinite vertical-plate.We obtained and analyzed the distribution of concentration,expressions for the velocity-field and the temperature graphically,using various parameters of interest.We also analyzed the Nusselt number and the skin friction due to their important engineering usage.展开更多
Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionab...Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionable and have properties to carry thermal energy to tumor cells by utilizing different clinical approaches.As the cancer cells are very smaller so for the infiltration,the properly sized nanoparticles have been injected in the blood.For this reason,gold nanoparticles are very effective.Keeping in mind the above applications,in the present work a generalized model of blood flow containing gold nanoparticles is considered in this work.The blood motion is considered in a cylindrical tube under the oscillating pressure gradient and magnetic field.The problem formulation is done using two types of fractional approaches namely CF(Caputo Fabrizio)and AB(Atangana-Baleanue)derivatives,whereas blood is considered as a counter-example of Casson fluid.Exact solutions of the problem are obtained using joint Laplace and Hankel transforms,and a comparative analysis is made between CF and AB.Results are computed in tables and shown in various plots for embedded parameters and discussed.It is found that adding 0.04-unit gold nanoparticles to blood,increase its heat transfer rate by 4 percent compared to regular blood.It is also noted that the heat transfer can be enhanced in the blood with memory.展开更多
The present study is focused on the unsteady two-phase flow of blood in a cylindrical region.Blood is taken as a counter-example of Brinkman type fluid containing magnetic(dust)particles.The oscillating pressure gradi...The present study is focused on the unsteady two-phase flow of blood in a cylindrical region.Blood is taken as a counter-example of Brinkman type fluid containing magnetic(dust)particles.The oscillating pressure gradient has been considered because for blood flow it is necessary to investigate in the form of a diastolic and systolic pressure.The transverse magnetic field has been applied externally to the cylindrical tube to study its impact on both fluids as well as particles.The system of derived governing equations based on Navier Stoke’s,Maxwell and heat equations has been generalized using the well-known Caputo–Fabrizio(C–F)fractional derivative.The considered fractional model has been solved analytically using the joint Laplace and Hankel(L&H)transformations.The effect of various physical parameters such as fractional parameter,Gr,M andγ on blood and magnetic particles has been shown graphically using the Mathcad software.The fluid behaviour is thinner in fractional order as compared to the classical one.展开更多
文摘The present article aims to examine the heat and mass distribution in a free convection flow of electrically conducted,generalized Jeffrey nanofluid in a heated rotatory system.The flow analysis is considered in the presence of thermal radiation and the transverse magnetic field of strength B0.The medium is porous accepting generalized Darcy’s law.The motion of the fluid is due to the cosine oscillations of the plate.Nanofluid has been formed by the uniform dispersing of the Silver nanoparticles in regular engine oil.The problem has been modeled in the form of classical partial differential equations and then generalized by replacing time derivative with Atangana–Baleanu(AB)time-fractional derivative.Upon taking the Laplace transform technique(LTT)and using physical boundary conditions,exact expressions have been obtained for momentum,energy,and concentration distributions.The impact of a number of parameters on fluid flow is shown graphically.The numerical tables have been computed for variation in the rate of heat and mass transfer with respect to rooted parameters.Finally,the classical solution is recovered by taking the fractional parameter approaching unity.It is worth noting that by adding silver nanoparticles in regular engine oil,its heat transfer rate increased by 14.59%,which will improve the life and workability of the engine.
文摘It is a very difficult task for the researchers to find the exact solutions to mathematical problems that contain non-linear terms in the equation.Therefore,this article aims to investigate the viscous dissipation(VD)effect on the fractional model of Jeffrey fluid over a heated vertical flat plate that suddenly moves in its own plane.Based on the Atangana-Baleanu operator,the fractional model is developed from the fractional constitutive equations.VD is responsible for the non-linear behavior in the problem.Upon taking the Laplace and Fourier sine transforms,exact expressions have been obtained for momentum and energy equations.The influence of relative parameters on fluid flow and temperature distribution is shown graphically.As special cases,and for the sake of correctness,the corresponding results for second-grade fluid and Newtonian viscous fluid are also obtained.It is interesting to note that fractional parameterαprovides more than one line as compared to the classical model.This effect represents the memory effect in the fluid which is not possible to elaborate by the classical model.It is also worth noting that the temperature profile of the generalized Jeffrey fluid rises for higher values of Eckert number which is due to the enthalpy difference of the boundary layer.
文摘It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased industrial applications.Because of its wide range of applications,this study aims at evaluating the solutions corresponding to Casson fluids’oscillating flow using fractional-derivatives.As it has a combined mass-heat transfer effect,we considered the fluid flow upon an oscillatory infinite vertical-plate.Furthermore,we used two new fractional approaches of fractional derivatives,named AB(Atangana–Baleanu)and CF(Caputo–Fabrizio),on dimensionless governing equations and then we compared their results.The Laplace transformation technique is used to get the most accurate solutions of oscillating motion of any generalized Casson fluid because of the Cosine oscillation passed over the infinite vertical-plate.We obtained and analyzed the distribution of concentration,expressions for the velocity-field and the temperature graphically,using various parameters of interest.We also analyzed the Nusselt number and the skin friction due to their important engineering usage.
基金The research is supported by Universiti Teknologi PETRONAS YUTP Grant(Cost Center 015LC0-173).
文摘Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionable and have properties to carry thermal energy to tumor cells by utilizing different clinical approaches.As the cancer cells are very smaller so for the infiltration,the properly sized nanoparticles have been injected in the blood.For this reason,gold nanoparticles are very effective.Keeping in mind the above applications,in the present work a generalized model of blood flow containing gold nanoparticles is considered in this work.The blood motion is considered in a cylindrical tube under the oscillating pressure gradient and magnetic field.The problem formulation is done using two types of fractional approaches namely CF(Caputo Fabrizio)and AB(Atangana-Baleanue)derivatives,whereas blood is considered as a counter-example of Casson fluid.Exact solutions of the problem are obtained using joint Laplace and Hankel transforms,and a comparative analysis is made between CF and AB.Results are computed in tables and shown in various plots for embedded parameters and discussed.It is found that adding 0.04-unit gold nanoparticles to blood,increase its heat transfer rate by 4 percent compared to regular blood.It is also noted that the heat transfer can be enhanced in the blood with memory.
文摘The present study is focused on the unsteady two-phase flow of blood in a cylindrical region.Blood is taken as a counter-example of Brinkman type fluid containing magnetic(dust)particles.The oscillating pressure gradient has been considered because for blood flow it is necessary to investigate in the form of a diastolic and systolic pressure.The transverse magnetic field has been applied externally to the cylindrical tube to study its impact on both fluids as well as particles.The system of derived governing equations based on Navier Stoke’s,Maxwell and heat equations has been generalized using the well-known Caputo–Fabrizio(C–F)fractional derivative.The considered fractional model has been solved analytically using the joint Laplace and Hankel(L&H)transformations.The effect of various physical parameters such as fractional parameter,Gr,M andγ on blood and magnetic particles has been shown graphically using the Mathcad software.The fluid behaviour is thinner in fractional order as compared to the classical one.
