The current mathematical model explains the influence of non-linear thermal radiation on the Casson liquid flow over a moving thin needle by considering Buongiorno’s nanofluid model.The influences of Stefan blowing,D...The current mathematical model explains the influence of non-linear thermal radiation on the Casson liquid flow over a moving thin needle by considering Buongiorno’s nanofluid model.The influences of Stefan blowing,Dufour and Soret effects are also considered in the model.The equations which represent the described flow pattern are reduced to ordinary differential equations(ODEs)by using apt similarity transformations and then they are numerically solved with Runge–Kutta-Fehlberg’s fourth fifth-order method(RKF-45)with shooting process.The impacts of pertinent parameters on thermal,mass and velocity curves are deliberated graphically.Skin friction,rate of heat and mass transfer are also discussed graphically.Results reveal that,the increase in values of Brownian motion,thermophoresis,Dufour number,heating and radiative parameters improves the heat transfer.The increasing values of the Schmidt number deteriorates the mass transfer but a converse trend is seen for increasing values of the Soret number.Finally,the escalating values of the radiative parameter decays the rate of heat transfer.展开更多
The thermal attributes of porous fin due to radiation and natural convection have been carried out in the presence of nanofluid flow.The geometry of the fin taken for the analysis is rectangular profiled longitudinal ...The thermal attributes of porous fin due to radiation and natural convection have been carried out in the presence of nanofluid flow.The geometry of the fin taken for the analysis is rectangular profiled longitudinal fin.The temperature-dependent internal heat generation condition is also considered along with Darcy’s model.The two types of nanofluid containing titanium alloy(Ti6Al4V)and aluminium alloy(AA7075)immersed in water is considered for the investigation.The modelled nonlinear ordinary differential equation is numerically solved by the Runge–Kutta–Fehlberg technique.The impact of geometric parameter on the heat transfer analysis of the fin due to the flow of both nanofluids is plotted and consequences are physically interpreted.It is observed that the presence of the water-based titanium alloy better enhances the fin heat transfer rate.展开更多
This research work explores the effect of hybrid nanoparticles on the flow over a rotating disk by using an activation energy model.Here,we considered molybdenum disulfide and ferro sulfate as nanoparticles suspended ...This research work explores the effect of hybrid nanoparticles on the flow over a rotating disk by using an activation energy model.Here,we considered molybdenum disulfide and ferro sulfate as nanoparticles suspended in base fluid water.The magnetic field is pragmatic normal to the hybrid nanofluid flow direction.The derived nonlinear ordinary differential equations are non-dimensionalized and worked out numerically with the help of Maple software by the RKF-45 method.The scientific results for a non-dimensionalized equation are presented for both nanoparticle and hybrid nanoparticle case.Accoutrements of various predominant restrictions on flow and thermal fields are scanned.Computation estimation for friction factor,local Nusselt number and Sherwood number are also executed.Results reveal that the reduction of the heat transfer rate is greater in hybrid nanoparticles when compared to nanoparticles for increasing values of Eckert Number and the thermal field enhances for the enhanced values of volume fraction.展开更多
文摘The current mathematical model explains the influence of non-linear thermal radiation on the Casson liquid flow over a moving thin needle by considering Buongiorno’s nanofluid model.The influences of Stefan blowing,Dufour and Soret effects are also considered in the model.The equations which represent the described flow pattern are reduced to ordinary differential equations(ODEs)by using apt similarity transformations and then they are numerically solved with Runge–Kutta-Fehlberg’s fourth fifth-order method(RKF-45)with shooting process.The impacts of pertinent parameters on thermal,mass and velocity curves are deliberated graphically.Skin friction,rate of heat and mass transfer are also discussed graphically.Results reveal that,the increase in values of Brownian motion,thermophoresis,Dufour number,heating and radiative parameters improves the heat transfer.The increasing values of the Schmidt number deteriorates the mass transfer but a converse trend is seen for increasing values of the Soret number.Finally,the escalating values of the radiative parameter decays the rate of heat transfer.
文摘The thermal attributes of porous fin due to radiation and natural convection have been carried out in the presence of nanofluid flow.The geometry of the fin taken for the analysis is rectangular profiled longitudinal fin.The temperature-dependent internal heat generation condition is also considered along with Darcy’s model.The two types of nanofluid containing titanium alloy(Ti6Al4V)and aluminium alloy(AA7075)immersed in water is considered for the investigation.The modelled nonlinear ordinary differential equation is numerically solved by the Runge–Kutta–Fehlberg technique.The impact of geometric parameter on the heat transfer analysis of the fin due to the flow of both nanofluids is plotted and consequences are physically interpreted.It is observed that the presence of the water-based titanium alloy better enhances the fin heat transfer rate.
基金financial support from Dr D S Kothari Post-Doctoral Fellowship Scheme,University Grants Commission,New Delhi。
文摘This research work explores the effect of hybrid nanoparticles on the flow over a rotating disk by using an activation energy model.Here,we considered molybdenum disulfide and ferro sulfate as nanoparticles suspended in base fluid water.The magnetic field is pragmatic normal to the hybrid nanofluid flow direction.The derived nonlinear ordinary differential equations are non-dimensionalized and worked out numerically with the help of Maple software by the RKF-45 method.The scientific results for a non-dimensionalized equation are presented for both nanoparticle and hybrid nanoparticle case.Accoutrements of various predominant restrictions on flow and thermal fields are scanned.Computation estimation for friction factor,local Nusselt number and Sherwood number are also executed.Results reveal that the reduction of the heat transfer rate is greater in hybrid nanoparticles when compared to nanoparticles for increasing values of Eckert Number and the thermal field enhances for the enhanced values of volume fraction.