Research on the nanofluid becomes trending amongst researchers especially in the industrial and engineering field due to its important and extensive applications. Therefore, the present study aims to ...investigate numerically the impact of viscous dissipation conducted by sodium carboxymethyl cellulose (CMC-water) nanofluid containing copper nanoparticles at room temperature with convective boundary conditions (CBC). The Tiwari and Das model was selected in this study and the transformed boundary layer equations for momentum and energy subject to the appropriate boundary conditions were numerically solved by employing numerical scheme, namely the Keller-box method. The results were analysed in detail and presented graphically for the velocity, temperature, skin friction coefficient as well as the heat transfer coefficient. The obtained results indicated that there was no significant effect for velocity and temperature profiles when values of Eckert number increased. However, it is significant for skin friction and heat transfer coefficient profiles. In the meantime, the thermal conductivity of the fluid may increase by increasing the concentration of nanofluid.
This study addresses the entropy generation in a magnetohydrodynamic flow of a Maxwell nanofluid over an infinite horizontal surface. The flow is then induced by the non-linear surface stretching. ...Furthermore, thermal radiation and viscous dissipation are also included in the present study as external sources. Similarity solutions are obtained by transformation of governing partial differential equations (PDEs) to ordinary differential equations (ODEs) using similarity variables. Keller box method is then adopted to find the approximate solutions of reduced ordinary differential equations. Two different classes of nanofluids, Copper-water (Cu − H2O) and Titanium-water (TiO2 − H2O) are considered for our analysis. Significant results of various parameters in flow, heat, Skin friction (Cf), Nusselt number (Nux), and entropy analysis are elaborated graphically. The remarkable finding of this work is that the thermal conductivity in Maxwell phenomena gradually increases as compared to the conventional fluid. The entropy of the system exaggerates with the incorporation of nanoparticle volume fraction ϕ, Reynolds number Re, Biot number Bi, Eckert number Ec, Brinkan number Bi and thermal radiation Nr. The sticking feature of the present study is that Cu-water based nanofluid is detected as a superior thermal conductor instead of TiO2-water based nanofluid.
In the present paper three dimensional magnetohydrodynamic (MHD) flow and heat transfer analysis associated with thermal radiation as well as viscous dissipation of nanofluid over a shrinking surface ...has been investigated. The developed governing equations are transformed employing suitable transformations which are then solved by Homotpy analysis method (HAM). The study of all governing parameters such as magnetic, permeability, wall mass transfer, radiation, nanoparticle volume fraction and shrinking parameters along with Eckert and Biot's numbers is carried out and the representative results are provided to explore the effect of these pertinent parameters on the fluid velocity and temperature as well as the local skin friction and local Nusselt number. The major outcome of the present study is that the magnetic field and porous matrix both impede the fluid motion, along with reduction in the velocity gradient at the wall thereby reducing local skin friction and thermal radiation as well as viscous dissipation effects show a reduction in the rate of heat transfer from the shrinking surface.
•Homotopy Analysis Method for 3D MHD flow of nanofluid.•A novel idea of inclusion of thermal radiation as well as viscous dissipation which is not yet explored for 3D MHD nanofluid by shrinking surface.•Comparative study with previously published results is incorporated.
•Magnetohydrodynamic (MHD) mixed convection flow of micropolar fluid is studied.•Heat transfer characteristics are explored by employing convective boundary condition and viscous ...dissipation.•Numerical values of skin friction coefficient and local Nusselt number are computed and analyzed.•Present results are compared with the available data in the limiting case and good agreement is noted.
The present paper addresses magnetohydrodynamics (MHD) flow of micropolar liquid towards nonlinear stretched surface. Analysis is presented with viscous dissipation, Joule heating and convective boundary condition. Characteristics of heat transfer are analyzed with mixed convection phenomenon. Dimensional nonlinear equations are converted into dimensionless expressions by employing suitable transformations. Homotopic procedure is implemented to solve the governing dimensionless problems. Behaviors of several sundry variables on the flow and heat transfer is scrutinized. Skin friction coefficient and local Nusselt number are presented and evaluated. Obtained results are also compared with the available data in the limiting case and good agreement is noted.
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The purpose of this attempt is mainly to explore the mixed convective flow of viscous fluid by a rotating disk. Thermal radiation, Joule heating, variable thickness and viscous ...dissipation have been accounted. Flow under consideration is because of nonlinear stretching characteristics of disk. Water is treated as traditional fluid while nanoparticles include silver and copper. Fluid is electrically conducting subject to applied magnetic field with constant strength. Heat generation and absorption is neglected. An entropy generation analysis is utilized through second law of thermodynamics. The effects of silver and copper nanoparticles on the thermal conductivity of continuous phase fluid and entropy generation have been also examined. Total entropy generation rate is scrutinized for different involved variables. Nonlinear formulation based upon conservation laws of mass, momentum and energy is made. Attention is particularly given to the convergence in the computational process. Velocity and thermal gradients at the surface of disk are obtained in tabular forms. Main conclusions have been indicated.
•Free convection magneto nanofluid flow in an enclosure is studied.•Thermal radiation is present.•Effective thermal conductivity and viscosity are simulated.•Solution by control volume base finite ...element technique is developed.
This article explores the effect of thermal radiation on Al2O3–water nanofluid flow and heat transfer in an enclosure with a constant flux heating element. KKL (Koo–Kleinstreuer–Li) correlation is used for simulating effective thermal conductivity and viscosity of nanofluid. The governing equations are solved via control volume based finite element method. The effects of Rayleigh number, Hartman number, viscous dissipation parameter, radiation parameter and volume fraction of nanoparticle on the flow and heat transfer characteristics have been examined. Results show that enhancement in heat transfer has direct relationship with Hartman number, viscous dissipation parameter and radiation parameter but it has reverse relationship for Rayleigh number. It is also observed that Nusselt number is an increasing function of Rayleigh number, volume fraction of nanoparticle and radiation parameter while it is a decreasing function of viscous dissipation parameter and Hartman number.
The flow past a stretching sheet has been explored by many scientists for its application in metal spinning, drawing of plastic films, glass blowing, crystal growing, and cooling of filaments. In ...addition, the presence of microorganisms enhances the stability of the fluid that plays a significant role in biotechnology, bio-microsystems, and bio-nano coolant systems. Therefore, the dynamics of bioconvective MHD hybrid nanofluid (TiO2 and Ag in water) flow over an exponentially stretching permeable surface considering thermal radiation, heat generation, chemical reaction, porosity, and dissipative effects has been investigated. Apposite similarity variables are applied in transforming the modeled PDEs into a system of nonlinear ODEs and are then solved utilizing the finite-difference based bvp5c algorithm. It is observed that an increase in the porosity parameter ascends the temperature and descends the velocity. It is also noted that the temperature profile is proportional to augmentations in radiation parameter, magnetic field parameter, Eckert number, and volume fraction of TiO2 and Ag nanoparticles. The mass transfer rate and the motile density number increase with mounting values of chemical reaction parameter. Further, multiple linear regression has been utilized to statistically scrutinize the effect of pertinent parameters on drag coefficient and heat transfer rate.
In this communication, an optimization of entropy generation is performed through thermodynamics second law. Tangent hyperbolic nanomaterial model is used which describes the important slip mechanism ...namely Brownian and thermophoresis diffusions. MHD fluid is considered. The novel binary chemical reaction model is implemented to characterize the impact of activation energy. Nonlinear mixed convection, dissipation and Joule heating are considered. Appropriate similarity transformations are implemented to get the required coupled ODEs system. The obtained system is tackled for series solutions by homotopy method. Graphs are constructed to analyze the impact of different flow parameters on entropy number, nanoparticle volume concentration, temperature and velocity fields. Total entropy generation rate is calculated via various flow variables. It is noticed from obtained results that entropy number depend up thermal irreversibility, viscous dissipation and Joule heating irreversibility and concentration irreversibility. Decreasing behavior of concentration is witnessed for higher estimations of chemical reaction variable. Entropy number is more for higher Hartmann number, Weissenberg number and chemical reaction variable while contrast behavior is noted for Bejan number.
•Entropy generation in tangent hyperbolic nanofluid is considered.•Effects of thermal radiation and mixed convection are also accounted.•Convergent series solution is found through homotopy analysis method.
Due to its application in the industry, heat transport is of crucial relevance. A novel form of nano-fluid known as the hybrid nanofluid helps to increase the thermal transfer capacity of regular ...fluids and has a larger thermal exponent. The two-part nanoparticle in a standard fluid is connected to the hybrid nanofluids. This study examines the hybrid nanofluid flowing properties and thermal transport passing through a slippy surface. There will be an examination of the forms of Inclined magnetic field, viscous dissipation, inclined joule heating, and thermal radiative impacts. The controlled equations are numerically solved using a numerical methodology, that is the finite difference procedure. This examination has included the hybrid tangent hyperbolic nanofluid which consists of the rich viscous non-Newtonian fluid (CH2OH)2 (ethylene glycol) of the genre of dual different sorts of nano-solid particles i.e., copper (Cu) and silicon dioxide (SiO2). It is worth noting that the heat transmission level of SiO2-Cu/(CH2OH)2 which has been steadily increasing compared with the typical nanofluid (Cu-(CH2OH)2). The entropy system is amplified to the Inclined magnetic field, radiative heat flux, Eckert and Weissenberg numbers by assimilation of nanoparticles ratio. Furthermore, SiO2-Cu/(CH2OH)2 tangent hyperbolic hybrid nanofluid combinations hold an upper hand in the main aspects of heat transfer efficiency while compared to the Cu-(CH2OH)2 tangent hyperbolic nanofluid.
These days, the most important requirement of contemporary technological activities is extraordinary performance chilling for standard construction. Weaker thermal transference is meaningful issue to ...keep the extraordinary performance chilling throughout manufacturing systems. This difficulty can be determined by the nanoparticles submersion. Thus, a rheological model featuring thermophoretic and Brownian diffusions is introduced to formulate the two-dimensional viscoelastic (second-grade) nanoliquid flow considering mixed convection and magnetohydrodynamics. Modeling subject to viscous dissipation, convective conditions, Joule heating, heat absorption/generation, stratifications and radiation aspects is presented. Non-dimensionalization process is performed introducing apposite variables. Homotopy algorithm is opted for nonlinear analysis. Graphs are exhibited for interpretation of distinct variables influence against dimensionless quantities. We found opposing behavior for radiation and thermal stratification variables against thermal field.
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