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Thermal Analysis in Hiemenz Flow of Viscous Fluid with Hybrid Nanoparticles As opposed to conventional nanofluids, hybrid nanofluids are regarded as more suited fluids in practical applications of heat transfer. Since the hybrid nanofluids' combined properties of two or more nanomaterials result in greater thermal conductivity of base liquid. The present study examines heat transfer in a Hiemenz flow over bi-directionally stretched sheets by comprising hybrid nanoparticles (SWCNT, MWCNT with base fluid water). Additionally, the heat transfer phenomenon is analyzed in the presence of magnetic field effect. The partial differential equations are subjected to the appropriate similarity transformations in order to create a dimensionless system of equations. A dimensionless system using the bvp4c approach (MATLAB-builtin function) is solved numerically and outcomes presented in graphical forms. Effects of the dimensionless physical parameters on flow and thermal profile is also discussed. By comparing basefluid, nanofluid (SWCNT and water), and hybrid nanofluid (SWCNT, MWCNT and water), the effects of dimensionless parameters on velocity and temperature are graphically abstracted. Physical explanation effectively support the study's findings.
Characteristics of Peristaltic flow of Walters' B Fluid with Chemical Reaction and Connective Conditions This thesis is primarily focused on examining the peristaltic motion of a Walters’B fluid within an asymmetric porous channel, while also considering chemical reaction and convective boundary conditions. The stream function conversions have been incoperated to the modelled equations to reduce the number of dependent variables. The involvement of the small parameter in the governing equations allow to use perturbation technique to obtain the analytical solution of the problem. The equations have been solved by using Mathematica software. Graphical representations of velocity distribution, temperature profiles, and concentration profiles are studied to provide insights into the interplay of the effect of other parameters within the Walters’ B fluid under consideration.
Influence of Entropy Generation on Peristaltic Transport of Pseudoplastic Fluid in a Curved Configuration This thesis is primarily focused on examining the influence of magnetohydrodynamic (MHD) effects on the peristaltic motion of a pseudoplastic fluid within a curved channel, while also considering entropy generation. The formulated problem is addressed through the application of the perturbation technique. The incorporation of commonly accepted assumptions, such as low Reynold numbers and long wavelength, serves to streamline the complexity of the problem. Utilizing MATHEMATICA software, the study presents graphical representations of streamline patterns, velocity distribution, temperature profiles, and entropy variations to provide insights into the interplay of MHD effects within the pseudoplastic fluid under consideration.
EFFECTS OF MEGNETIC FIELD ON PERISTALTIC FLOW OF SECOND GRADE DUSTY FLUID IN AN INCLINED ASYMMETRIC CHANNEL The primary goal of this thesis is to investigate the effects of magnetic field on the peristaltic flow of second-grade dusty fluid in an inclined asymmetric channel. The problem formulation has been developed for peristalsis of MHD second-grade dusty fluid. In addition the inclined asymmetric channels are taken. The modelled problem is solved by applying the perturbation technique. The stream functions are used to simplify the problem by reducing the number of depending variables. The graphs for fluid and solid particles velocity and pressure gradient are achieved using Mathematica software.
PERISTALTIC FLOW OF A SECOND GRADE DUSTY FLUID IN AN ENDOSCOPE WITH VISCOUS DISSIPATION In the present work, we have discussed the behavior of 2nd grade dusty fluid while passing through an endoscope induced by peristaltic movement. Coupled differential equations have been modelled for both fluid and dust particles. Using the regular perturbation technique by taking ‘𝛿’ as a perturbation parameter to obtain the analytical solution of the derived equations. Numerical calculations using DSolver in Mathematica software determined the solutions of the problem. The parameters, including Reynolds number, Prandtl number, wave number, etc were identified as important factors in the transport properties. The velocity of dust grains and fluids, as well as stream function, is analyzed graphically. The findings have potential applications in diverse medical fields, such as understanding gastric fluid flow through the small intestine during endoscopy.
Mathematical Analysis of Burgers Fluid Flow Induced by an Unsteady Motion The aim of this work is to analyze two unsteady motions of incompressible non-Newtonian fluids through a plate channel. Exactly, we examine exact analytical expressions for unsteady, laminar flows of an incompressible Burgers fluid. The porous effects are taken into consideration. Also, we use the assumption that pressure is constant and there is no body force along the direction of the flow. The fluid motion is generated by one of the plates which is either moving in its plane or oscillates in its own plane, and the obtained solutions satisfy all imposed initial and boundary conditions. The exact analytical solutions for dimensionless velocity and associated shear stress are acquired by means of the Finite Fourier Sine Transform (FFST). The starting solutions corresponding to the oscillatory motion of the boundary are presented as a sum of permanent (steady-state) and transient components. These solutions can be useful for those who want to eliminate the transients from their experiments. For a check of the obtained results, their steady-state components are presented in different forms whose equivalence is graphically illustrated. Analytical solutions for incompressible Oldoryd-B, Maxwell and Newtonian fluids performing the same motions are recovered as limiting cases of the presented results. To shed light on some relevant physical aspects of the obtained results, the influence of the material parameters of the fluid motion as well as comparison amongst various models are underlined by graphical illustrations. It is found that the Burgers fluids flow slower as compared to Newtonian fluids. The required time to reach the steady-state is also presented. It is found that the presence of porous medium delays the appearance of the steady-state. It has been observed that the velocity is an increasing function of Burgers fluid parameter and by increasing time the magnitude of velocity is larger for both cases. Moreover, the amplitude of oscillations is larger for the velocity profile without porous medium, but we have seen the opposite effect for the steady state shear stress, for different values of Burgers parameter.
Analysis of Unsteady Hybrid Nanofluid Flow Over a Stretching Surface The goal of the current analysis is to investigate the fluid flow and heat transfer of a recently introduced category of fluids known as hybrid nanofluid. This study is focused on the flow of a viscous, unsteady and three dimensional flow of hybrid nanofluid. The fluid is flowing over an exponentially stretching and rotating surface. The phenomenon of mixed convection and slip velocity is considered in the current model. CuO and TiO2 are taken as a nanoparticles and the base fluid is a mixture of ethylene glycol and water (50%-50%). The system of partial differential equations are reduced into a system of ordinary differential equations by means of suitable similarity transformations. The resulting system is solved numerically with the help of bvp4c technique in MATLAB software. The flow analysis is carried out through the graphical presentation of the velocity and temperature profiles. In contrast to simple nanofluids, hybrid nanofluids delivers a superior rating, according to the probe for establishing parameters. The characteristics of essential parameters such as stretching ratio parameter, rotating parameter, mixed convection parameter, velocity slip parameter, temperature exponent parameter and unsteady parameter for the velocity and temperature are evaluated. Moreover the influence of various parameters on friction drag and Nusselt number are also appraised. The comparison tables are also displayed which shows an excellent agreement between the obtained results and already published results.
Effect of Thermal Radiation on Hybrid Nanofluid Flow over a Curved Stretching Surface The analysis of heat transfer characteristics of thermally radiative hybrid nanofluids over an exponentially curved surface proves essential for engineering and industrial applications like in polymer processing, materials science, mechanical engineering and aerospace engineering, all of which involve intricate geometry. A number of researchers have delve into the subject of MHD boundary layer flow over a curved stretching surface in light of the expanding technical significance of magnetohydrodynamic (MHD) phenomenon. The current study is based on steady, two dimensional, laminar flow of an electrically conducting, viscous and incompressible fluid flowing over an exponentially curved stretching surface with inclusion of viscous dissipation, thermal radiation and multiple shape factors. The considered hybrid nanofluid is comprised up of two nanoparticles, aluminum oxide and copper, and water is serving as the base fluid. The flow is induced by the curved surface's exponential stretching features. The Darcy Forchheimer effect is utilized to influence the momentum analysis. The governing equations for the hybrid nanofluid flow model are highly complicated coupled system of equations. Mathematical modeling is employed in order to transform the physical system into a set of partial differential equations, which are subsequently simplified as a system of nonlinear ordinary differential equations by employing appropriate similarity variables. The amended non-dimensional momentum and energy equations give the numerical solutions using the bvp4c MATLAB built in solver. The results are displayed in the form of graphs that investigates how different physical parameters influence the velocity profile, temperature profile, local Nusselt number and skin friction coefficient. It is observed that in contrast to magnetic parameter behavior, the velocity profile of a hybrid nanofluid rises with curvature parameter values. Meanwhile, it has been determined that the temperature profile improves for enhancing values of the thermal radiation parameter, Eckert number and the magnetic parameter. The highest thermal conductivity is observed in blade-shaped nanoparticles in most of the cases, whereas brick-shaped nanoparticles have the least.
Characteristics of Hybrid Nanofluid Flow over a Riga Plate in the Presence of Mixed Convection The hybrid nanofluid flow can be helpful in improving the efficiency and effectiveness of heat transfer systems like in heat exchangers, electronic devices for thermal management automotive engine and cooling system. The aim of the study is to focus on the hybrid nanofluid flow (Cu − Al₂O₃/𝐻2𝑂) over a Riga surface placed in a permeable medium. The flow experiences electromagnetohydrodynamics (EMHD) and is observed near a stagnation point. The effects of mixed convection, viscous dissipation, thermal radiation, Joule heating as well as heat generation/absorption are examined for the considered flow. The problem is modelled as a system of complex and coupled partial differential equations. The system is further reduced into system of ordinary differential equations by employing the suitable similarity transformation. The reduced system is solved through bvp4c function in MATLAB software and the numerical results of the nonlinear ordinary differential equations are generated. For several important parameters, the velocity and temperature distributions are analyzed. The mixed convection parameter results in an enhancement of velocity profile. The nanoparticle volume fractions for both the nanoparticles raises temperature of the hybrid nanofluid. Further, the graphical influence of various parameters is also examined for friction drag and Nusselt number. The authenticity of the obtained results is validated through a comparison study which is in correspondence with the previous published research.
Analysis of Peristaltic Eyring-Powell Fluid with an Inclined Magnetic Field in non-Uniform Porous Channel The main focus of this thesis is to investigate the peristaltic transport of an Eyring-Powell fluid in a non-Uniform porous channel under an inclined magnetic field. The study also takes into consideration wall properties. The governing equations for the conservation of mass and momentum for Eyring-Powell fluid in a symmetric channel are introduced. Stream functions are used to reduce the number of dependent variables of governing PDEs. Perturbation method is used to solve these equations in order to obtain velocity and temperature profiles. The effects of diverse parameter on streamlines, velocity, pressure and temperature are investigated. The software Mathematica is used to create the graphs.
Parametric Investigation of Entropy Production in Jeffrey Nanofluid Past an exponential Stretchable Surface with Convective Conditions This study presents a parametric investigation of entropy production in a Jeffrey nanofluid flow over an exponentially stretchable surface, considering convective boundary conditions. Under the boundary layer and Rosseland's approximations, a mathematical model of the flow problem under consideration is developed. Utilizing the Jeffrey fluid model, which characterizes the non-Newtonian behavior of the nanofluid, the governing nonlinear PDEs are transformed into a set of ODEs through appropriate similarity transformations. Then the ODEs are solved by applying homotopy analysis method. The effects of physical parameters on dimensionless temperature, concentration, and velocity are demonstrated and examined. Additionally, the study investigates how different parameters affect the system's average entropy generation number, skin friction, Sherwood number, Nusselt number, and entropy generation number. A Mathematica program was used to make graphs that show the results of all physical parameters.
On a new class of q-starlike functions with respect to boundary point The aim of this research is to introduce and discuss properties of new subclasses of analytic functions in the open unit disc. The concepts of q-calculus will be used to define the q-extensions of already existing results for starlike functions. We will investigate the results thoroughly which are previously find by the researcher such as integral representation theorem, Fekete-Szegö Inequality, coefficient bounds and differential subordination results related to the class of starlike functon with respect to a boundary point. The new class of q-starlike functions with respect to a boundary point subordinated with exponential function will be introduced. Coefficient estimates, integral representation theorem, Fekete-Szegö inequality, covering and differential subordination results will be examined for our new class. The relevant connections of our new classes and results to known ones are also pointed out.