Numerical study of magneto-convective heat and mass transfer from inclined surface with Soret diffusion and heat generation effects: A model for ocean magnetic energy generator fluid dynamics

Journal of Biomechanical Engineering

Gul

et al. 2021

Mathematical modelling of mechanical system in microfluidics is an emerging area of interest in micro scale engineering. Since microfluidic devices use the hair like structure of artificial cilia for pumping, mixing and sensing in different fields, therefore; electro osmotic cilia driven flow help to generate the fluid velocity for the Newtonian and viscoelastic fluid. Due to the deployment of artificial ciliated walls, the present research reports the combined effect of an electro osmotic flow and convective heat transfer on Jeffrey viscoelastic electrolytic fluid flow in a two-dimensional ciliated vertical channel. Heat generation/absorption and nonlinear radiation effects are included in the present mathematical model. After applying Debye-Huckel approximation and small Reynolds number approximation to momentum and energy equation, the system of nonlinear partial differential equation is reduced into non-homogenous boundary value problem. The problem determines the velocity, pressure and temperature profiles by the application of semi-analytical technique known as Homotopy Perturbation Method (HPM) with the help of software Mathematica. The graphical results of the study suggest that HPM is a reliable methodology for thermo physical electro-osmotic rheological transport in micro channels.

Section: Introductionmentioning

confidence: 99%

Retracted: “Electro-Osmotic Propulsion of Jeffrey Fluid in a Ciliated Channel Under the Effect of Nonlinear Radiation and Heat Source/Sink,” [ASME Journal of Biomechanical Engineering, 2021, 143(5), p. 051008; DOI: 10.1115/1.4049810]

Shaheen

Journal of Biomechanical Engineering

Gul

et al. 2021

“…This may be executed in any number of symbolic software including Maple, Mathematica and Matlab. Details of this technique are given in [45]- [47]. MAPLE has been used in the geothermal duct simulation.…”

Section: Maple Quadrature Numerical Solutionsmentioning

confidence: 99%

Perturbation and MAPLE Quadrature Computation of Thermosolutal Dissipative Reactive Convective Flow in a Geothermal Duct with Robin Boundary Conditions

Umavathi

Lecture Notes in Mechanical Engineering

Vasu

et al. 2021

Self Cite

Buoyancy-driven reactive flows feature extensively in geophysics, materials processing and energy systems. In respect to the latter, geothermal energy holds gtreat promise in India and other Asian geographical locations and offers immense resources in the 21 st century. Motivated by such applications, in the current study a mathematical model is developed for thermo-solutal convection flow in an open two-dimensional vertical channel containing a porous medium saturated with reactive Newtonian fluid is studied. Robin boundary conditions are prescribed and a first order homogenous chemical reaction is considered. The Darcy-Forchheimer model is used to simulate both first and second order porous medium drag effects. The reference temperatures are taken as symmetric or asymmetric. Viscous heating is also included in the model. The conservation equations are written in dimensionless form taking into account the effects of viscous dissipation. For the case of small Brinkman number (i.e.viscous heating parameter) and neglecting the Forchheimer quadratic drag effect, perturbation solution of the simpler Darcian boundary value problem is developed. For the general non-Darcy-case, a numerical solution is presented with the Runge-Kutta quadrature and a shooting method. Good correlation between analytical and numerical solutions is demonstrated. The influence of thermal and solute Grahsof numbers, Biot numbers, Brinkman number, first order chemical reaction parameter, porous medium parameter and Forchheimer (inertial drag) parameter on velocity, temperature and concentration (species) distributions is visualized graphically. Nusselt number and skin friction at the walls are computed for selected parameters relevant to real geothermics. Increasing porous media parameter (decreasing medium permeability) reduces temperatures for both equal and unequal Biot numbers. Increasing thermal Grashof number accelerates the flow and elevates temperatures for both equal and unequal Biot numbers. With higher values of solutal Grashof number velocity and temperature near the cold plate (wall) are reduced whereas the converse behaviour is induced at the hot wall. Increasing chemical reaction parameter elevates the species concentration in the left half space of the channel whereas it suppresses concentration in the right half space and in both scenarios a parabolic distribution is observed. In the absence of chemical reaction, a linear growth in concentration is computed from the left plate to the right plate. With increasing porous medium parameter and Forchheimer inertial parameter the flow is strongly decelerated across the channel span whereas there is a much weaker reduction in temperatures. Skin friction is consistently lowered at both plates with increasing thermal Grashof number for equal Biot numbers. However, with unequal Biot numbers, skin friction at the left plate is increased whereas it is still reduced at the right plate. With increasing solutal Grashof number, skin friction is always reduced at both plates for both equal and ...

“…The Dufour effect relates to the energy flux due to a species concentration gradient occurring and is the reciprocal phenomenon to the Soret effect which is associated with the mass (species) flux due to a temperature gradient, as noted by Bég et al 44 Both effects can exert considerable influence on heat, mass, and momentum characteristics in duct flows. 45 Cross diffusion and viscosity variation effects were addressed by Umavathi and Mohite 46 again for thermosolutal convection through nanofluid-saturated porous layers. Bhatti et al 47 computed the hydrodynamic/thermal slip effects on radiative hydromagnetic Fe 3 O 4 -water-based nanofluid flow from a nonlinear stretching sheet in Darcian porous media with cross diffusion effects.…”

Section: Introductionmentioning

confidence: 99%

Computation of thermo-solutal convection with soret-dufour cross diffusion in a vertical duct containing carbon/metallic nanofluids

Umavathi

Proceedings of the Institution of Mechanical Engineers, Part C:

2022

Duct flows constitute an important category of modern thermal engineering. Optimizing efficiency has become a significant objective in the 21st century in, for example, heating ventilation and air-conditioning (HVAC), coolant or heat transfer fluid flows in a nuclear power reactor, heat exchanger design etc, and this has been achieved by either new materials (improved thermal insulation properties) constituting the duct walls, novel geometric designs or improved working fluids. Nanotechnology has infiltrated into duct design in parallel with many other fields of mechanical, medical and energy engineering. Motivated by the excellent potential of nanofluids, a subset of materials engineered at the nanoscale, in the present work, a new mathematical model is developed for natural convection in a rectangular vertical duct containing nanofluid. e left and right walls of the duct are maintained at constant and unequal temperatures, while the front and rear walls of the duct are insulated. Thermo-solutal (double-diffusive) natural convection of aqueous nanofluid containing various metallic nanoparticles (e. g. copper, titanium oxide) or carbon-based nanoparticles (e. g. diamond, silicon oxide) is simulated. The Tiwari-Das nanoscale volume fraction model is used in addition to the Brinkman and Maxwell models for defining the properties of the nanofluid. The partial differential conservation equations for mass, momentum and energy are non-dimensionalized via appropriate transformations and the resulting boundary value problem is solved with a second-order accurate implicit finite difference technique employing Southwell-Over-Relaxation (SOR). esh independence tests are conducted. Extensive visualization of the solutions for velocity, temperature, nanoparticle concentration (volume fraction) are presented for five different nanoparticles (silicon oxide, diamond, copper, titanium oxide and silver), thermal Grashof number, nanoparticle species (solutal) Grashof number, volume fraction of nanoparticles (i.e. percentage doping), Dufour number, Soret number, Prandtl number, Schmidt number and duct aspect ratio.