Binary chemical reaction with activation energy in rotating flow subject to nonlinear heat flux and heat source/sink

M. Ijaz Khan,Tehreem Nasir,T. Hayat,Niaz B. Khan,A. Alsaedi 한국CDE학회 2020 Journal of computational design and engineering Vol.7 No.3

Time-dependent rotating flow in presence of heat source/sink, applied magnetic field, Joule heating, thermal radiation, and viscous dissipation is considered. Chemical reaction with Arrhenius activation energy is implemented. The governing partial differential equations have been reduced to ordinary differential systems. Shooting scheme is implemented for the computations of governing systems. Graphical results are arranged for velocity, temperature, and concentration, skin friction coefficients, and heat and mass transfer rates. Main results are mentioned in conclusion portion. It is analyzed that velocity decays in the presence of magnetic variable while temperature and concentration fields are enhanced via Eckert number and fitted rate constant. Moreover drag force and mass and heat transfer rates decrease through higher estimations of rotation rate variable, magnetic parameter, and Eckert number.

Theoretical Investigations of Entropy Optimization in Electro-Magneto Nonlinear Mixed Convective Second Order Slip Flow

M. Ijaz Khan,Sumaira Qayyum,S. Kadry,W. A. Khan,S. Z. Abbas 한국자기학회 2020 Journal of Magnetics Vol.25 No.1

Here nonlinear mixed convective entropy based nanofluid second order slip flow of magnetic and electric field is addressed. Both electric and magnetic field is considered for the problem formulation and the flow is generated by a stretched surface. Important slip factors, i.e., Brownian and thermophoresis diffusions are accounted. Total entropy rate subject to four types of irreversibilities (i) heat transfer (ii) chemical reaction (iii) fluid friction (iv) Joule or Ohmic heating is obtained through second law of thermodynamics. Thermal radiation, heat generation/absorption, dissipation, Brownian motion, Joule or Ohmic heating and thermophoresis effects are considered in the development of the energy equation. Activation energy to undergo the physical transportation or chemical transformation of atoms or molecules is further considered in the analysis of concentration. Firstly ordinary differential system is found, then numerically solved for flow field, entropy generation, concentration, temperature, skin friction, Nusselt number, Bejan number and Sherwood number through built-in- Shooting method.

Magnetized Darcy-Forchheimer Stagnation Point Flow of Micropolar Ferrosoferric Oxide Fluid with Velocity Slip and Convective Boundary Condition

M. Ijaz Khan,Seifedine Kadry,Yu-Ming Chu,El Mostafa Kalmoun,Zulfiqar Ali 한국자기학회 2020 Journal of Magnetics Vol.25 No.2

The present communication develops the governing expressions that describe a steady incompressible two-dimensional flow of micropolar Ferrosoferric Oxide fluid towards a stretched surface under the impact of Lorentz force (magnetic field). Ferrofluids are made out of nanoscale ferromagnetic materials suspended in a base fluid (oil, kerosene, water). The distinction between the magnetorheological fluids (MRF) and ferrofluids (FF) is the size of the materials. The materials in a ferrofluid fundamentally comprise of nanomaterials, which are suspended by Brownian diffusion and generally under normal conditions will not settle. Here, Ferrosoferric Oxide (Fe₃O₄) is considered as nanoparticle and water as a base fluid. The governing equations are modeled by using Tiwari-Das nanofluid model with the help of appropriate similarity transformations. Furthermore, radiative heat flux and convective boundary condition is accounted. The numerical results of the governing equations are obtained through implementation of Built-in-Shooting technique. The impact of radiation parameter, stretching ratio parameter, magnetic parameter, thermal Biot number, micro-rotation parameter, velocity slip parameter and Darcy-Forchheimer number on the flow velocity and temperature are revealed graphically and discussed. The engineering curiosity like skin friction and Nusselt number are computationally computed and tabulated.

Implication of Magneto-hydrodynamics and Melting Heat Transfer in Cubic Autocatalytic Reactive Flow with Entropy Generation

Sohail A. Khan,M. Ijaz Khan,Sami Ullah Khan,M. Y. Malik,A. Ghareeb 한국자기학회 2021 Journal of Magnetics Vol.26 No.3

The theme of this article is to investigate hydrodynamic flow of an incompressible second grade nanoliquid by a curved stretched sheet. Energy expression is developed through dissipation and Joule heating. Brownian and thermophoresis diffusion are also scrutinized. Physical feature of entropy generation is discussed. Isothermal cubic autocatalytic chemical reactions are discussed. Suitable transformations are used to develop the ordinary differential system. To develop a convergent series solution we employed the Optimal Homotopy Analysis Technique (OHAM). Graphical description of velocity, entropy generation, temperature distribution and concentration versus sundry parameters are discussed. An opposite behavior in velocity field is noted for magnetic and curvature parameters. Temperature distribution and velocity field have reverse trends for melting parameter. An augmentation in temperature is observed for radiation parameter. Larger magnetic variable lead to improve the entropy generation. Entropy optimization is boosted versus higher magnetic parameter.

Entropy Effect on Tri-Polar and Quadrupolar Magnetized Vortex in Electron-Positron and Ion (EPI) Plasma

Imran Amin,M. Yaqoob Khan,M. Waqar Ahmed,Faris Alzahrani,M. Ijaz Khan 한국자기학회 2023 Journal of Magnetics Vol.28 No.1

The entropy of electron-positron and ion plasma plays a significant role in the transportation of particles, momentum, and energy. Drift waves in these plasmas produce central mechanisms for this transport. The effects on tri-polar and quadrupolar vortexes in epi plasma have been analyzed numerically under various approximations. As plasma consists of various elements, it is important to understand the effects of entropy on systems. In this article, we have discussed how entropy affects linear and non-linear equations in the presence of temperature, equilibrium density, electrostatic potential gradients, and a magnetic field. Additionally, by investigating tri-polar and quadrupolar vortexes without regard for entropy effect we can find information about this phenomenon.

Comparative Work for Darcy-Forchheimer Hybrid Nanofluid Flow Subject to Zinc Ferrite, Nickle Zinc Ferrite

Faris Alzahrani,M. Ijaz Khan 한국자기학회 2021 Journal of Magnetics Vol.26 No.3

Owing to thermal requirements of many industrial and engineering processes, this research presents the improved feature of hybrid nanofluid with applications heat source and sinks features. The most fascinating Zinc ferrite and Nickle Zinc ferrite nanoparticles are used to predict the thermal enhancement in engine oil and Kerosene oil base materials. The radiative phenomenon with nonlinear relations is encountered to enhance the heat transportation pattern. Moreover, the entropy generation assessment is also observed with significances of optimized analysis. The consideration of porous space is inspected by using the Darcy-Forchheimer theory. A comprehensive comparative analysis for enchantment of heat transfer rate is examined between both types of nanoparticles. The physical influence of parameters for velocity, thermal gradient and entropy generation phenomenon is visualized. It is observed that thermal efficiency of ferrite nanoparticles (MnZnFe₂O₄) with suspension of engine oil (C8H18) base liquid is more progressive as compared to the suspensions of ferrite nanoparticles and kerosene oil (C10H22) hybrid material.

Significance of Buongiorno Model and Arrhenius Pre-exponential Factor Law to Entropy Optimized Darcy Forchheimer Hybrid Nanoparticle (Al₂O₃, Cu) Flow Over Thin Needle

S. Shaw,M. Ijaz Khan,M. K. Nayak,J. K. Madhukesh,R. S. Varun Kumar,Shahid Farooq,M. Y. Malik 한국자기학회 2021 Journal of Magnetics Vol.26 No.4

In the fields of engineering, industry, and biology, thin needles serve a critical role. The thermocouple hot wire anemometer for wind speed monitoring, microscale heat extraction cooling systems, and electronic microstructure outfitting are only a few of the needle"s key applications. In view of these applications the present investigation is carried out to study the Casson hybrid nanofluid flow for the entropy creation and the pre-exponential factor law in Darcy Forchheimer medium on the thin needle. The set of governing equations describing the flow problem will be converted to a system of ordinary differential equations with suitable similarity variables. The numerical solutions are obtained by the aid of mathematical computing software by applying the Runge Kutta Fehlberg 45 method with shooting scheme. The numerical results for various parameters are produced, and an entropy analysis is performed. Axial velocity falls as the porosity and Darcy parameters are increased. The thermal performance improves as the needle size and Brinkman number increase. The concentration profile is improved by thermophoresis, Brinkman number, and activation energy parameter. The entropy generation and surface drag force will increase as the porosity parameters are increased, while the Bejan number will decrease.

Electro-magnetic Visco-plastic Nanofluid Flow Considering Buongiorno Two-component Model in Frames of Darcy-Forchheimer Porosity, Transpiration and Joule Heating

Shuguang Li,M. Waqas,Salman A. AlQahtani,M. Ijaz Khan 한국자기학회 2023 Journal of Magnetics Vol.28 No.2

Enhancing heat transfer is of utmost importance in modern industrial applications. Pure liquids for illustration ethylene glycol, propylene glycol and water having lower conductivity are commonly used as cooling liquids in distinct applications. This approach helps conserve and optimize the enhancement of heat transportation. However, in order to achieve enhanced thermal efficiency, state-of-the-art liquids known as nanoliquids have been recommended. Thus the Buongiorno two-component nanoliquid model, which exhibits superior thermal efficiency compared to the aforementioned standard cooling liquids is being considered for formulating and analyzing the behavior of Casson nanoliquid configured by cylindrical convected surface. The problem formulation incorporates various factors such as Darcy-Forchheimer porosity, thermophoresis, magnetohydrodynamics, Brownian diffusion, suction/injection and Joule heating. Boundary-layer stretching flow is formulated. Dimensionless differential form from governing nonlinear problems is achieved by employing relevant variables. The application of the homotopy procedure results in convergent solutions for strongly nonlinear systems. The graphs are used to reveal the plots of significant factors in the analysis.

Comparative Investigation of Ferromagnetic Hybrid Nanomaterials (Nickle Zinc Ferrite, Manganese Zinc Ferrite) in Darcy-Forchheimer Flow with Wu’s Slip

Yu-Ming Chu,M. Ijaz Khan,F. Alzahrani,A. Hobiny 한국자기학회 2020 Journal of Magnetics Vol.25 No.4

This paper study the hybrid nanofluid flow over a stretching sheet with additional effect of Wu’s slip. Comparative study of four different hybrid nanofluids is done here. We have considered manganese zinc ferrite NnZnFe₂O₄, Nickle zinc ferrite NiZnFe₂O₄ as nanoparticles whereas Kerosene oil C10H22 and Engine oil C8H18 as base fluids. Darcy Forchheimer porous medium is considered in momentum equation. Heat equation is studied in presence of different effects namely radiation, convective condition, temperature dependent heat source sink and viscous dissipation. Transformations are applied on PDE’s to form the governing equation of ODE’s. Shooting method technique is used to solve the governing equations. Velocity, temperature, Nusselt number and skin friction behaviour against different parameters is analyzed via graphs. Velocity of the fluid decays for higher slip parameter. Motion of the fluid increases for greater values of Forchheimer number. Temperature is increasing function of Biot number.

Analysis of fourth-grade fluid model over a stretchable surface with Riga plate subject to permeable medium

Hua Bian,Shah Faisal,Khan M Ijaz,El-Zahar Essam Roshdy,Farooq Shahid,Khan Sami Ullah,Guedri Kamel,Wu Wen-jing 한국CDE학회 2022 Journal of computational design and engineering Vol.9 No.3

The current investigation is concerned with the rheological impact of fourth-grade confined by Riga surface. The flow behaviour is analysed over a Riga plate in the presence of stagnation point and porous medium. The relevant similarity variables and corresponding boundary conditions are adopted to model the current problem. The highly non-linear coupled differential system is via optimal homotopy scheme. The outcomes of relevant dimensionless parameters on the velocity profile have been visualized with physical exploration. It is observed from the obtained outcomes that the fluid velocity declines against rising estimations of modified magnetic variable and inverse Darcy number. The increasing velocity change is noted for boosting values of third-grade fluid parameter. Moreover, the velocity pattern for fourth-grade material is comparatively higher than viscous, second-grade, and third-grade materials. The comparative analysis against obtained simulations is also listed.