A mathematical analysis for a steady, incompressible, laminar Carreau nanofluid flow over a porou... more A mathematical analysis for a steady, incompressible, laminar Carreau nanofluid flow over a porous cone and wedge is considered. The novelty of this research work is to scrutinize an exponential space-dependent Cattaneo–Christov heat flux and quadratic Rosseland approximation effects. Two-phase nanofluid model, i.e., Brownian motion, and thermophoretic effects are included. This study also employs non-linear thermal radiation and convective surface boundary conditions to investigate heat transport phenomena. The Carreau nanofluid boundary layer equations are derived using the standard boundary layer approximations. By applying the similarity transformations, the managing set of partial differential equations (PDEs) becomes a system of connected non-linear ordinary differential equations (ODEs). The resultant non-linear ODEs are solved numerically utilizing the numerical method, particularly the bvp4c function in MATLAB. The significances of the fluid motion are visualized by sketchi...
For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field... more For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field of research because it has various applications in automotive industries, energy-saving, nuclear reactors, transportation, electronics etc. and suspensions of nanoparticles are being developed in medical applications including cancer therapy. In this paper, a free electrothermo-convective instability in a dielectric nanofluid layer in a porous medium is studied. An Oldroyd’s constitutive equation is used to describe the behaviour of nanofluid and for porous medium, the Darcy model is employed. The equation of conservation of momentum of fluid is stimulated due to the presence of an AC electric field, stress-relaxation parameter and strain-retardation parameter. The stability of the system is discussed in stationary and oscillatory convections for free–free boundaries. For the case stationary convection, it is found that the Oldroydian Nanofluid behaves like an ordinary nanofluid as the stationary Rayleigh number is independent of the stress-relaxation parameter, the strain-retardation parameter and Vadasz number. The effect of stress-relaxation-time parameter, strain-retardation-time parameter, Vadasz number, nanoparticles Rayleigh number, modified diffusivity ratio, medium porosity, Lewis number and electric Rayleigh number examined numerically and graphs have been plotted to analyse the stability of the system. It is observed that the electrical Rayleigh number has destabilizing influence whereas nanoparticles Rayleigh number, porosity and modified diffusivity ratio have stabilizing effect on the system. The oscillatory convection is possible for the values of the stress-relaxation parameter less than the strain-retardation parameter for both top-heavy/bottom-heavy distributions of nanoparticles.
For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field... more For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field of research because it has various applications in automotive industries, energy-saving, nuclear reactors, transportation, electronics etc. and suspensions of nanoparticles are being developed in medical applications including cancer therapy. In this paper, a free electrothermo-convective instability in a dielectric nanofluid layer in a porous medium is studied. An Oldroyd’s constitutive equation is used to describe the behaviour of nanofluid and for porous medium, the Darcy model is employed. The equation of conservation of momentum of fluid is stimulated due to the presence of an AC electric field, stress-relaxation parameter and strain-retardation parameter. The stability of the system is discussed in stationary and oscillatory convections for free–free boundaries. For the case stationary convection, it is found that the Oldroydian Nanofluid behaves like an ordinary nanofluid as the ...
2022 6th International Conference On Computing, Communication, Control And Automation (ICCUBEA
Data mining plays a significant role in information acquisition and effective information utilisa... more Data mining plays a significant role in information acquisition and effective information utilisation from big data. Many techniques are available for data mining, In many disciplines, including health care services, data reduction using rough set theory is a commonly utilized mathematical technique. In this paper, Rough Set Theory (RST) is applied to a patient's satisfaction survey to identify sets of critical attributes which are responsible for the patient's satisfaction. RST is a useful tool for data mining, however the data it extracts lacks efficiency and precision. This study proposes a novel approach to tackle this problem, combining Rough Set Theory, Data Envelopment Analysis (DEA), and Artificial Neural Networks (ANN). The Data Envelopment Analysis (DEA) is the leading approach used to find the dependency of output variables on input variables. These powerful instruments Through the use of Artificial Neural Network (ANN) results, RST and DEA are utilised to determine the effectiveness of reductions. Based on cross-validation of ANN accuracy of forecasting is determined.Maximizing patient satisfaction is an important goal of Health care organizations. Patients' feedback helps them to identify the ways to improve their working methods which transforms into better care and happier patients.In this paper, Rough Set Theory is applied to a patient's satisfaction survey to identify sets of critical attributes which are responsible for the patient's satisfaction. DEA & ANN give the best set of critical attributes based on their efficiency.
International Journal of Multidisciplinary Research Configuration, 2022
In this paper we will discuss mechanics and electrical circuit problems in term of a differential... more In this paper we will discuss mechanics and electrical circuit problems in term of a differential equation in the field of engineering. The solutions of these differential equations are obtained by Sumudu transform. Sumudu transform is a very useful and powerful mathematical tool for solving many advanced problems of engineering and applied sciences. The Sumudu Transform was applied to solve differential equations. These equations are concerned with a damping mechanical force system and an inductive capacitive electric circuit. KEYWORD: Differential equation, Sumudu Transform, Inverse Sumudu Transform, Kirchhoff’s law.
In this paper we investigate the solution of certain generalized Volterra-type integral equation ... more In this paper we investigate the solution of certain generalized Volterra-type integral equation with Quasi polynomial free term involving the generalized G-function of several variables. The equation is solved by the method of Laplace Transform. The results obtained are of general character and provide generalizations of the results given by Srivastava and Saxena (2005) and Saxena and Kalla (2005).
In this present paper we study product of some special functions via pathway fractional integral ... more In this present paper we study product of some special functions via pathway fractional integral operator. Our results are quite general in nature .Some known and new results are also obtain here.
In this paper, the effect of vertical AC electric field on the onset of electrohydrodynamic therm... more In this paper, the effect of vertical AC electric field on the onset of electrohydrodynamic thermal instability in a horizontal layer of an elastico-viscous nanofluid saturated by a porous medium stimulated by the dielectrophoretic force due to the variation of dielectric constant with temperature is investigated. Walters’ (model B') elastico-viscous fluid model is used to describe rheological behaviour of nanofluid and for porous medium, the Darcy model is employed. The model used for nanofluid incorporates the effects of thermophoresis and Brownian diffusion. It is assumed that nanoparticle flux is zero on the boundaries. Linear stability analysis based on perturbation theory and normal mode analysis method is applied. The resulting eigenvalue problem is solved for isothermal free-free boundaries analytically and numerically by using the Galerkin method. For the case of stationary convection, it is observed that Walters’ (model B') elastico-viscous nanofluid behaves like a...
Electrohydrodynamic thermal instability of an elastic-viscous nanofluid saturating a porous in th... more Electrohydrodynamic thermal instability of an elastic-viscous nanofluid saturating a porous in the presence of vertical AC electric field is investigated analytically and numerically. For porous medium, Brinkman model is employed and couple-stress fluid model is used to describe rheological behavior of a nanofluid. On the boundary of fluid layer nanoparticle the flux is assumed to be zero. The problem is solved by applying linear stability analysis based upon perturbation theory and normal mode analysis for isothermal free-free boundaries. The effects of couple-stress parameter, Brinkman-Darcy number, AC electric field, Lewis number, modified diffusivity ratio, nanoparticle Rayleigh number and medium porosity are presented for the case of stationary convection. Under the considered boundary conditions, the oscillatory convection does not exist. La inestabilidad térmica electro-hidrodinámica de un nanofluido elástico-viscoso que satura un poro en presencia de un campo eléctrico verti...
International Journal of Engineering and Advanced Technology, 2019
The main objective of this paper is to optimize (maximize) the net return of Central Bank of Indi... more The main objective of this paper is to optimize (maximize) the net return of Central Bank of India in the area of interest from loans such as Personal loan, Car loan, Home loan, Agricultural loan, Commercial loan, Education loan and also maximize the net return of the investor by investing some amount in the investment policy of Central Bank of India such as Fixed Deposit, Saving Account, Public Provident fund and other investment Policies. The linear programming technique is applied to maximize profit of the Bank and the investor
A mathematical analysis for a steady, incompressible, laminar Carreau nanofluid flow over a porou... more A mathematical analysis for a steady, incompressible, laminar Carreau nanofluid flow over a porous cone and wedge is considered. The novelty of this research work is to scrutinize an exponential space-dependent Cattaneo–Christov heat flux and quadratic Rosseland approximation effects. Two-phase nanofluid model, i.e., Brownian motion, and thermophoretic effects are included. This study also employs non-linear thermal radiation and convective surface boundary conditions to investigate heat transport phenomena. The Carreau nanofluid boundary layer equations are derived using the standard boundary layer approximations. By applying the similarity transformations, the managing set of partial differential equations (PDEs) becomes a system of connected non-linear ordinary differential equations (ODEs). The resultant non-linear ODEs are solved numerically utilizing the numerical method, particularly the bvp4c function in MATLAB. The significances of the fluid motion are visualized by sketchi...
For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field... more For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field of research because it has various applications in automotive industries, energy-saving, nuclear reactors, transportation, electronics etc. and suspensions of nanoparticles are being developed in medical applications including cancer therapy. In this paper, a free electrothermo-convective instability in a dielectric nanofluid layer in a porous medium is studied. An Oldroyd’s constitutive equation is used to describe the behaviour of nanofluid and for porous medium, the Darcy model is employed. The equation of conservation of momentum of fluid is stimulated due to the presence of an AC electric field, stress-relaxation parameter and strain-retardation parameter. The stability of the system is discussed in stationary and oscillatory convections for free–free boundaries. For the case stationary convection, it is found that the Oldroydian Nanofluid behaves like an ordinary nanofluid as the stationary Rayleigh number is independent of the stress-relaxation parameter, the strain-retardation parameter and Vadasz number. The effect of stress-relaxation-time parameter, strain-retardation-time parameter, Vadasz number, nanoparticles Rayleigh number, modified diffusivity ratio, medium porosity, Lewis number and electric Rayleigh number examined numerically and graphs have been plotted to analyse the stability of the system. It is observed that the electrical Rayleigh number has destabilizing influence whereas nanoparticles Rayleigh number, porosity and modified diffusivity ratio have stabilizing effect on the system. The oscillatory convection is possible for the values of the stress-relaxation parameter less than the strain-retardation parameter for both top-heavy/bottom-heavy distributions of nanoparticles.
For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field... more For the last few years, thermal instability of non-Newtonian nanofluids becomes a prominent field of research because it has various applications in automotive industries, energy-saving, nuclear reactors, transportation, electronics etc. and suspensions of nanoparticles are being developed in medical applications including cancer therapy. In this paper, a free electrothermo-convective instability in a dielectric nanofluid layer in a porous medium is studied. An Oldroyd’s constitutive equation is used to describe the behaviour of nanofluid and for porous medium, the Darcy model is employed. The equation of conservation of momentum of fluid is stimulated due to the presence of an AC electric field, stress-relaxation parameter and strain-retardation parameter. The stability of the system is discussed in stationary and oscillatory convections for free–free boundaries. For the case stationary convection, it is found that the Oldroydian Nanofluid behaves like an ordinary nanofluid as the ...
2022 6th International Conference On Computing, Communication, Control And Automation (ICCUBEA
Data mining plays a significant role in information acquisition and effective information utilisa... more Data mining plays a significant role in information acquisition and effective information utilisation from big data. Many techniques are available for data mining, In many disciplines, including health care services, data reduction using rough set theory is a commonly utilized mathematical technique. In this paper, Rough Set Theory (RST) is applied to a patient's satisfaction survey to identify sets of critical attributes which are responsible for the patient's satisfaction. RST is a useful tool for data mining, however the data it extracts lacks efficiency and precision. This study proposes a novel approach to tackle this problem, combining Rough Set Theory, Data Envelopment Analysis (DEA), and Artificial Neural Networks (ANN). The Data Envelopment Analysis (DEA) is the leading approach used to find the dependency of output variables on input variables. These powerful instruments Through the use of Artificial Neural Network (ANN) results, RST and DEA are utilised to determine the effectiveness of reductions. Based on cross-validation of ANN accuracy of forecasting is determined.Maximizing patient satisfaction is an important goal of Health care organizations. Patients' feedback helps them to identify the ways to improve their working methods which transforms into better care and happier patients.In this paper, Rough Set Theory is applied to a patient's satisfaction survey to identify sets of critical attributes which are responsible for the patient's satisfaction. DEA & ANN give the best set of critical attributes based on their efficiency.
International Journal of Multidisciplinary Research Configuration, 2022
In this paper we will discuss mechanics and electrical circuit problems in term of a differential... more In this paper we will discuss mechanics and electrical circuit problems in term of a differential equation in the field of engineering. The solutions of these differential equations are obtained by Sumudu transform. Sumudu transform is a very useful and powerful mathematical tool for solving many advanced problems of engineering and applied sciences. The Sumudu Transform was applied to solve differential equations. These equations are concerned with a damping mechanical force system and an inductive capacitive electric circuit. KEYWORD: Differential equation, Sumudu Transform, Inverse Sumudu Transform, Kirchhoff’s law.
In this paper we investigate the solution of certain generalized Volterra-type integral equation ... more In this paper we investigate the solution of certain generalized Volterra-type integral equation with Quasi polynomial free term involving the generalized G-function of several variables. The equation is solved by the method of Laplace Transform. The results obtained are of general character and provide generalizations of the results given by Srivastava and Saxena (2005) and Saxena and Kalla (2005).
In this present paper we study product of some special functions via pathway fractional integral ... more In this present paper we study product of some special functions via pathway fractional integral operator. Our results are quite general in nature .Some known and new results are also obtain here.
In this paper, the effect of vertical AC electric field on the onset of electrohydrodynamic therm... more In this paper, the effect of vertical AC electric field on the onset of electrohydrodynamic thermal instability in a horizontal layer of an elastico-viscous nanofluid saturated by a porous medium stimulated by the dielectrophoretic force due to the variation of dielectric constant with temperature is investigated. Walters’ (model B') elastico-viscous fluid model is used to describe rheological behaviour of nanofluid and for porous medium, the Darcy model is employed. The model used for nanofluid incorporates the effects of thermophoresis and Brownian diffusion. It is assumed that nanoparticle flux is zero on the boundaries. Linear stability analysis based on perturbation theory and normal mode analysis method is applied. The resulting eigenvalue problem is solved for isothermal free-free boundaries analytically and numerically by using the Galerkin method. For the case of stationary convection, it is observed that Walters’ (model B') elastico-viscous nanofluid behaves like a...
Electrohydrodynamic thermal instability of an elastic-viscous nanofluid saturating a porous in th... more Electrohydrodynamic thermal instability of an elastic-viscous nanofluid saturating a porous in the presence of vertical AC electric field is investigated analytically and numerically. For porous medium, Brinkman model is employed and couple-stress fluid model is used to describe rheological behavior of a nanofluid. On the boundary of fluid layer nanoparticle the flux is assumed to be zero. The problem is solved by applying linear stability analysis based upon perturbation theory and normal mode analysis for isothermal free-free boundaries. The effects of couple-stress parameter, Brinkman-Darcy number, AC electric field, Lewis number, modified diffusivity ratio, nanoparticle Rayleigh number and medium porosity are presented for the case of stationary convection. Under the considered boundary conditions, the oscillatory convection does not exist. La inestabilidad térmica electro-hidrodinámica de un nanofluido elástico-viscoso que satura un poro en presencia de un campo eléctrico verti...
International Journal of Engineering and Advanced Technology, 2019
The main objective of this paper is to optimize (maximize) the net return of Central Bank of Indi... more The main objective of this paper is to optimize (maximize) the net return of Central Bank of India in the area of interest from loans such as Personal loan, Car loan, Home loan, Agricultural loan, Commercial loan, Education loan and also maximize the net return of the investor by investing some amount in the investment policy of Central Bank of India such as Fixed Deposit, Saving Account, Public Provident fund and other investment Policies. The linear programming technique is applied to maximize profit of the Bank and the investor
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Papers by Hemlata Saxena