scholarly journals Squeezing flow of convectively heated fluid in porous medium with binary chemical reaction and activation energy

2019 ◽  
Vol 11 (10) ◽  
pp. 168781401988377 ◽  
Author(s):  
Shakeel Ahmad ◽  
Muhammad Farooq ◽  
Aisha Anjum ◽  
Nazir Ahmad Mir

In this communication, attention is paid to analyze theoretically the influence of the temperature-dependent binary chemical reaction for hydro-magnetic viscous fluid flow, flowing through the porous medium due to the squeezing phenomenon. For better understanding of variations in the processes of convective heat and mass transport, Arrhenius activation energy is also accounted. The equations governing the flow, heat, and mass are altered into non-linear differential system (ordinary differential equation) by means of suitable conversion methods. Efficient convergent technique is employed to compute resulting non-linear system. The solutions thus acquired are utilized to interrogate the behavior of the physical operating variables on flow velocity, fluid temperature, and fluid concentration. Coefficient of skin friction and rate of heat and mass transport are graphically elaborated. From the graphs, it is concluded that the temperature of fluid dominates against activation energy parameter [Formula: see text] and reaction parameter [Formula: see text]. However, an opposite trend is noted for concentration field. Moreover, temperature field and fluid concentration are incremented for dominant thermal and solutal Biot numbers, respectively. This analysis has the industrial processes which include engine cooling system, polymer industry, lubrication mechanisms, design of cooling and heating systems, molding of plastic sheets, designing porous surfaces to decrease drag, optimizing oil/gas production, in the domain of engineering (i.e. chemical, biomedical, geothermal etc.), chemical or nuclear system, cooling process in nuclear reaction, biochemical process, bimolecular reaction, and polymeric flows which is electrically conducted can be restrained and managed by exploiting the magnetic field. Encouraged by such physical situations, the proposed analysis is accomplished.

2019 ◽  
Vol 15 (1) ◽  
pp. 227-245 ◽  
Author(s):  
Gireesha B.J. ◽  
M. Archana ◽  
B. Mahanthesh ◽  
Prasannakumara B.C.

PurposeThe purpose of this paper is to explore the effects of binary chemical reaction and activation energy on nano Casson liquid flow past a stretched plate with non-linear radiative heat, and also, the effect of a novel exponential space-dependent heat source (ESHS) aspect along with thermal-dependent heat source (THS) effect in the analysis of heat transfer in nanofluid. Comparative analysis is carried out between the flows with linear radiative heat process and non-linear radiative heat process.Design/methodology/approachA similarity transformation technique is utilised to access the ODEs from the governed PDEs. The manipulation of subsequent non-linear equations is carried out by a well-known numerical approach called Runge–Kutta–Fehlberg scheme. Obtained solutions are briefly discussed with the help of graphical and tabular illustrations.FindingsThe effects of various physical parameters on temperature, nanoparticles volume fraction and velocity fields within the boundary layer are discussed for two different flow situations, namely, flow with linear radiative heat and flow with non-linear radiative heat. It is found that an irregular heat source/sink (ESHS and THS) and non-linear solar radiation play a vital role in the enhancement of the temperature distributions.Originality/valueThe problem is relatively original to study the effects of activation energy and binary chemical reaction along with a novel exponential space-based heat source on laminar boundary flow past a stretched plate in the presence of non-linear Rosseland radiative heat.


2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1143-1155
Author(s):  
Salman Ahmad ◽  
Khan Ijaz ◽  
Ahmed Waleed ◽  
Tufail Khan ◽  
Tasawar Hayat ◽  
...  

The computational investigations on mixed convection stagnation point flow of Jeffrey nanofluid over a stretched surface is presented herein. The sheet is placed vertical over which nanomaterials flowing upward direction. Arrhenius activation energy and binary chemical reaction are accounted. Non-linear radiative heat flux, MHD, viscous dissipation, heat source/sink, and Joule heating are considered. Initially the non-linear flow expressions are converted to ordinary one and then tackled for series solutions by homotopy analysis method. Consider flow problem are discussed for velocity, temperature and concentration through various flow variables. Furthermore, skin friction coefficient, Sherwood number, and heat transfer rate are computed graphically.


2018 ◽  
Vol 10 (9) ◽  
pp. 168781401880114 ◽  
Author(s):  
Muhammad Farooq ◽  
Shakeel Ahmad ◽  
Mubashar Javed ◽  
Aisha Anjum

This article is made to discuss the effect of magnetohydrodynamic on squeezing flow of the nanoparticles between two confined boundaries. Constitutive expressions are utilized for convectively heated Maxwell nano-fluid using Buongiorno’s model in the mathematical development of considered flow problem. Here system of transport equations incorporates the combined impacts of thermophoresis diffusion, Brownian diffusion, and double stratification. Non-linear coupled ordinary differential equations are transformed by employing suitable similar transformations. The formulated non-linear system is evaluated successfully via convergent approach, that is, Homotopy analysis method. The graphical analysis is carried out for different active physical flow parameters. Nusselt and Sherwood numbers are also treated graphically. The results portray that the velocity profile shows cross flow behavior for increasing values of material parameter. Moreover, for dominant values of Biot number, convective effects dominant on plate surface and help the temperature and nanoparticles concentration to increase rapidly near the surface.


2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 179-184
Author(s):  
Peter Habu ◽  
Noor Noor ◽  
Zailan Siri

This paper examines the transport of a chemically reacting nanofluid in a porous medium between two rotary disks with Cattaneo-Christov?s heat flux. The non-linear ordinary differential system formed under Vonn Karman transformation of a non-linear partial differential system is solved via a shooting method with MATLAB bvp4c. The nanofluid thermodynamics profiles with variation in physical properties of thermal relaxation time, thermal radiation, porosity, and chemical reaction are observed. Axial, radial, and tangential velocities are found to be increasing functions of porous medium. A decrease in the fluid temperature is perceived as thermal radiation and thermal relaxation increase since more heat can be transported to neighboring surroundings. The concentration is enhanced with intensified Cattaneo-Christov?s thermal relaxation but it oscillates with reacting chemicals. The rotary disks bound the oscillating nanofluid from downward to up-ward directions and vice versa. The axial velocity represents the change in force due to porosity and radial stretching of the disks.


Author(s):  
Masood Khan ◽  
Awais Ahmed ◽  
Ayesha Maqbool ◽  
Zahoor Iqbal ◽  
Muhammad Yousaf Malik ◽  
...  

In this article, the thermal and solutal analysis are carried out in the swirling flow of Maxwell fluid over a stretchable rotating cylinder in the perspective of Cattaneo–Christov double diffusion theory instead of classical Fourier’s and Fick’s law for heat and mass transport phenomena. The constant rotation of the cylinder and axial-dependent stretching produced the flow under the influence of the magnetic field. The heat sink/source and chemical reaction in flow work as a controlling agent for energy transportation. The problem of thermal and solutal transport in flow under certain suppositions is modeled in the form of partial differential equations. Furthermore, the partial differential equations are converted to ordinary differential equations using flow similarities. To calculate the numerical computation of similar ordinary differential equations is performed through the bvp4c MATLAB technique. The flow phenomenon and energy distribution in flow are examined by using graphs. The key findings of this study reveal that increase in relaxation time parameters for heat and mass transport, both temperature and concentration profiles decline. Moreover, the energy transport increases for the higher heat source and chemical reaction parameters.


Sign in / Sign up

Export Citation Format

Share Document