Narrow Results

The study of squeezing fluids is considered to be one of the most important areas of scientific research due to its various engineering and bioapplications such as the squeezing processes that occur in the brake mechanisms in trucks and Piston’s systems, liquid metal lubrication systems, polymer processing and compression/injection molding as well as the contraction processes in the arteries and veins. This work deals with the study of one of these applications through modeling using the basic equations governing the squeezing fluids and their boundary conditions, and the presence of some external thermal influences such as the magnetic field and linear/nonlinear thermal radiation in its basic form as a nonlinear partial differential equations system, then converting this system into nonlinear ordinary differential equations that were solved numerically and analytically for special cases. The results focused on showing the thermal and flow behavior of the fluid at different concentrations of nanoparticles, which induce the effect of thermal forces represented by the magnetic field and thermal radiation. These results were demonstrated through a set of graphs and tables and discussed in detail, and in summary, some important results were found from the physical analysis. For some of these results, the use of different types and concentrations of particles increases the viscosity of the fluid, which causes an increase in temperature ranging between 17% and 45%.

This work examines the magnetohydrodynamic (MHD) three-dimensional (3D) flow comprising Cu and Al₂O₃ water-based nanofluids. The effects of heat and mass transfer with the effects of nanoparticles are carried out in the existence of thermal radiation and convective heat and mass transfer boundary conditions. By applying the proper similarity transformations the partial differential equations describing velocity, temperature and nanoparticle volume fraction (NVF) are transformed to a system of nonlinear ordinary differential equations (NODE). An optimal homotopy analysis technique is applied to evaluate the analytical solutions. The influences of pertinent parameters on the velocity, temperature and NVF are displayed in graphical and tabular forms. Calculations of Nusselt number, skin friction coefficients and the local Sherwood number are evaluated via tables. An excellent comparison has also been made with the previously-published literature.

This study explores the effects of thermal and magnetohydrodynamics (MHD) on Powell–Eyring fluid with the Cattaneo–Christov heat flux over a curved surface. The mathematical framework regarding the physical problem turn out to a set of nonlinear partial differential equation. The set of governing equations are first reduced into nonlinear ordinary differential equations via appropriate transformations and then analytical solutions of resulting nonlinear differential equations have been obtained by optimal homotopy asymptotic method. The influence of involved parameters such as magnetic parameter, fluid parameter, thermal relaxation parameter, curvature parameter, relaxation parameter, Grashof number, material parameter and Prandtl number are discussed and analyzed in tabular as well as in pictorial form. Finally, a comparison with the existing literature is prepared and an excellent agreement is seen.

This paper describes a theoretical framework and computational methods of a thin layer coating of a non-Newtonian polymeric material while it moves through a tiny space among two inverted rollers. Order of magnitude is accustomed to clarify the nondimensional forms of the governing equations. Semi-analytical solutions of pressure gradient, velocity profile and rate of the flow are acquired via optimal homotopy asymptotic method (OHAM). The graphical representation depicts the physical quantities of the effects of velocity profile ratio k and Weissenberg number We. It is observed that by increasing the values of k and We, velocity profile decreases while pressure distribution increases.

The objective of this research is to recover new solutions in the lifting and drainage cases of thin film flows involving non-Newtonian fluid models namely Pseudo-Plastic (PP) and Oldroyd 6-Constant (O6C). Both of the considered fluids exhibit numerous uses in industry when coupled with thin film phenomena. Some of the industrial applications include decorative and optical coatings, prevention of metallic corrosion and lithography of various diodes, sensors and detectors. For solution purpose, a modified version of Optimal Homotopy Asymptotic Method (OHAM) is proposed in which Daftardar–Jafari polynomials will replace the classical OHAM polynomials in nonlinear problems and provide better results in terms of accuracy. The paper includes a comprehensive application of modified algorithm in the case of thin film phenomena. To validate the obtained series solutions, the paper employs a rigorous assessment of convergence and validity by computing the residual errors in each scenario. For showing the effectiveness of modified algorithm, numerical comparison of classical and modified OHAMs is also presented in this study. Furthermore, the study conducts an in-depth graphical analysis to assess the impact of fluid parameters on velocity profiles both in lifting and drainage scenarios. The results of this investigation demonstrate that the proposed modification of OHAM ensures better accuracy of solutions than the classical OHAM. Consequently, this method can be effectively utilized for tackling more advanced situations.

This paper investigates the squeezing action of hybridized nanofluid flow that takes place in the mechanism of truck brakes, dampers, polymer manufacturing, power transportation, oiling structure, and food production. The modeling technique relied on a set of partial differential equations to direct the fluid, taking into consideration external factors like the magnetized force and the time-dependent source of heat and thermal radiation. The hybridized nanofluid consists of copper and aluminum oxide nanoparticles that are dispersed in the machine oil. Entropic thermodynamic analysis is also examined to evaluate its role in the thermal examination of the system. The optimal homotopy asymptotic and Adomian decomposition methods were used to solve the problem. The study examined the changes in the rate of entropy formation and the characteristics of fluid velocities, heat transference rate, and performance based on the kind and concentration of nanoparticles and external thermal impacts. The results are presented in many key components, including a notable 30% increase in heat conductivity when using a combination of nanoparticles. The use of hybridized nanofluids manages to reduce surface frictional force, whereas the employment of a combination of particles results in an increase in friction owing to the heightened viscosity of the mixture.