Significance of Knudsen number and corrugation on EMHD flow under metallic nanoparticles impact

Rashid, Muhammad; Shahzadi, Iqra; Nadeem, S.

doi:10.1016/j.physa.2019.124089

Cited by 15 publications

(5 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They found enhancement in rate of solidification with increasing shape factor, even though there is a reduction in temperature. Several attempts of nanofluids under different aspects have been conducted [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] .…”

mentioning

confidence: 99%

“…https://doi.org/10.1038/s41598-020-68409-0 www.nature.com/scientificreports/ Under the assumptions of long wavelength ( δ = a/ ) and low Reynolds number, Eqs (21). and(22) are written in the forms: which is reduced, by eliminating the pressure terms, to Similarly, Eq. (23) with a lubrication approach, givesThe chemically reactive homogeneous/heterogeneous equations are For the special case D A = D B ( ǫ = 1 ), it holds g = 1 − f .…”

mentioning

confidence: 99%

See 1 more Smart Citation

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Bibi

2020

Sci Rep

View full text Add to dashboard Cite

The purpose of present work is to explore the features of homogeneous-heterogeneous reactions in peristalsis flow of Carreau magneto hybrid nanofluid with copper and silver nanoparticles in a symmetric channel. The velocity slip condition and thermal radiation effect is also taken in the simplified model. Thermodynamic optimization aspect is discussed through the entropy generation analysis. The proposed mathematical systems are modified by using a lubrication approach and solved by a homotopy-based package-BVPh 2.0. The impacts of different involved parameters on flow characteristics, thermal characteristics, chemically reactive concentration and entropy generation are scrutinized through analytic results. It reveals that the fluid velocity decreases with the increasing values of the Weissenberg and the Hartman numbers. Characteristics of the Brinkman and the thermal radiation numbers are quite reverse for the heat transfer rate. In addition, entropy generation decreases with thermal radiation and Weissenberg number. The main outcome signifies that hybrid nanofluid is better thermal conductor as compared to the conventional nanofluid. Nomenclature V Velocity of the nanofluid B Magnetic field J Current density P Pressure T Temperature c p Heat capacity Wave length k Thermal conductivity 2a Width of the channel α Concentration of chemical species Ā β Concentration of chemical species B b Amplitude of the peristaltic wave k c Homogeneous reaction coefficient k s Heterogeneous reaction coefficient D A Diffusion coefficient of chemical species A D B Diffusion coefficient of chemical species B c p Specific heat at constant pressure Sc Schmidt number Re Reynold number M Hartman number

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Bibi

2020

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Substituting Equations (26) to (28) in Equations (19), (21), and (25) and rearranging the powers of We, the following system of equations are obtained: The solution of Equation (29) satisfying the required conditions defined in Equations (31) and (32) are written as follows:…”

Section: Cauchy Stress Tensor For Tangent-hyperbolic Fluidmentioning

confidence: 99%

“…Their analysis shows that momentum boundary‐layer thickness decays with increase in Hartmann number. Rashid et al 31 demonstrated the impact of surface roughness on viscous Jeffrey fluid flow inside a microchannel through corrugated walls via perturbation scheme. It is recorded from the analysis that the velocity profile increases with the increasing values of buoyancy parameter.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic peristaltic flow of unsteady tangent‐hyperbolic fluid in an asymmetric channel

et al. 2020

View full text Add to dashboard Cite

The aim of the present numerical investigation is to explore the impact of magnetic field on peristaltic flow of an incompressible tangent-hyperbolic fluid in an asymmetric channel. The present physical model is developed based on the considered flow configuration and with the help of small Reynolds number approximations. The current flow problem is revealed under the influence of applied magnetic field. The asymmetric channel has been considered to narrate the present physical problem. Considered physical situation in the current investigation gives the unsteady coupled highly nonlinear system of partial differential equations. Also, the simplified equations for pressure, pressure gradient, and streamlines have been obtained with the help of suitable transformations. A regular perturbation scheme is employed to produce the semi-analytical results of the present problem. The influence of various physical parameters on pressure, pressure gradient, and streamlines are illustrated with the help of graphs. From the present analysis, it is observed that the increasing magnetic number decreases the pressure and pressure gradient in the channel. Also, the size of trapping bolus increases with increasing values of Weissenberg number. K E Y W O R D S asymmetric channel, magnetic field, peristaltic flow, Reynolds number 1 | INTRODUCTION Peristaltic flow of physiological fluids is a type of wave-frame movement existing inside the tube-shaped structures, which induces the motion of a particle/medium. Peristaltic transport mechanism is very important in many industrial and real-life applications. For instance, blood flow in the heart, lungs and dialysis works on the principles of peristaltic process. Also, other mechanisms include the peristaltic flow examples, such as movement of urine to bladder through kidney, motion of chyme in intestinal path, spermatozoa motion, movement of food in esophagus, vasomotion of arterioles, capillaries, and venules, and many other biomedical applications. However, in realistic view, the process such as sanitary fluid movement, corrosive fluids transfer, motion of toxic fluids in various industries, plasma flow, blood flow, alloys and liquid metals flow, heavy oil lubrication with greases, and many others will fail to follow the Newtonian flow conditions. However, for these types of practical applications, it is quite obvious to choose the non-Newtonian fluid flow behavior to determine the transport properties. Further, various researchers have considered and studied the different non-Newtonian fluids based on their practical applications and flow complexity. The theoretical and experimental study of peristaltic fluid flow in a pump was studied by Latham. 1 It is clearly observed from Latham's study that the variations in the velocity profile were useful to describe how viscosity causes the peristaltic pump to work. Also, forward and backward flow occurs even though there is no pressure across the pump. Further, Latham's study was continued by Jaffrin and Shapiro 2 and they described the influ...

show abstract

“…Since then, sizeable literature on this topic is reported under different conditions. Recent contributions in this order may be mentioned by the studies (Goswami et al , 2016; Muthuraj et al , 2016; Shit and Ranjit, 2016; Hayat et al , 2018, 2016a; Abbasi et al , 2016; Abbasi and Shehzad, 2017; Fusi and Farina, 2018; Khan et al , 2018, 2020; Hussain et al , 2018; Bhatti et al , 2016, 2019a; Iftikhar et al , 2018; Shahzadi et al , 2017; Bhatti et al , (2019b); Waqas et al , 2020; Riaz et al , 2019; Abdelsalam et al , 2019; Sheikholeslami and Bhatti, 2019; Abbas et al , 2019, 2020; Rashid et al , 2020; Nadeem et al , 2020; Shahzadi et al , 2020a, b; Rizwana et al , 2019; Ahmad et al , 2020) and many references therein. Analytical study of MHD channel flows is of wide interest in real-life applications in design of cooling systems having liquid metals such as accelerators, petroleum industry, fluid droplets sprays and aerodynamics heating.…”

Section: Introductionmentioning

confidence: 99%

A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect

Javed

2020

MMMS

View full text Add to dashboard Cite

Purposeobjective of the present investigation is to examine the influence of Hall on the peristaltic mechanism of Johnson-Segalman fluid in a heated channel with elastic walls. The transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.Design/methodology/approachThe transmission of heat is carried out. Relevant equations are computed for heat transfer coefficient, temperature and velocity. Low Reynolds number assumptions and long wavelength are employed. The interpretation of various parameters is analyzed. The results indicate that the heat transfer coefficient, temperature and velocity are larger for viscous material in comparison with Johnson-Segalman material.FindingsThe formulation of paper is executed as follows. Section 2 comprises problem summary and mathematical design. Solution methodology is discussed, and expressions for temperature, velocity and coefficient of heat transfer are derived in Section 3. Graphical outcomes for the parameters are reported in Section 4. Conclusions are outlined in Section 5.Practical implicationsPeristaltic phenomenon of fluids has a definite role in many physiological, industrial and engineering processes. The mechanical devices for instance finger and roller pumps operate via this process, and it is quite significant for vasomotion of blood vessels, consumption of food via esophagus, chyme flow in gastrointestinal zone, toxic liquid flow in nuclear industry and transport of corrosive fluids.Originality/valueLiterature review witnesses that information about peristalsis of conducting fluid in a heated channel with flexible walls and Hall effect is scarce. So, our goal is to discuss the peristaltic activity of non-Newtonian fluids in flexible channel. Johnson-Segalman fluid is taken into account. This model is used to allow non-affine deformations. Experimentalists relate “spurt” with wall slip. That is why the work presented is original.

show abstract

Significance of Knudsen number and corrugation on EMHD flow under metallic nanoparticles impact

Cited by 15 publications

References 30 publications

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Peristaltic channel flow and heat transfer of Carreau magneto hybrid nanofluid in the presence of homogeneous/heterogeneous reactions

Magnetohydrodynamic peristaltic flow of unsteady tangent‐hyperbolic fluid in an asymmetric channel

A mathematical framework for peristaltic mechanism of non-Newtonian fluid in an elastic heated channel with Hall effect

Contact Info

Product

Resources

About