Abstract:This study aim to examine the channel flow of a couple stress Casson fluid. The flow is generated due to the motion of the plate at $$y=0$$
y
=
0
, while the plate at $$y=d$$
y
=
d
is at rest. This physical phenomenon is derived in terms of partial differential equations. The subjected… Show more
“…The comparative analysis between the present obtained solutions and solutions obtained by Ahmad et al 54 is highlighted in Fig. 16 .…”
Section: Resultsmentioning
confidence: 62%
“…17 . Figure 16 Comparison between the present solutions and Ahmad et al 54 when , , , , , , and . Figure 17 Comparison between the present solutions and Arif et al [A] when , , , , and .…”
Section: Resultsmentioning
confidence: 77%
“…In the view of assumptions considered in this study, the governing equations along with IC’s and BC’s which are explained in 2 , 54 . Therefore, we have: where represents velocity and temperature, represents Casson parameter and couple stress parameter respectively.…”
Section: Mathematical Modeling and Solution Of The Problemmentioning
confidence: 99%
“…This section provides a limiting case by putting the effect of some involved parameters such as external pressure and the volume fraction of the nanoparticles then our obtained solutions reduced to the solutions obtained by Ahmad et al 54 . This results shows a strong agreement with the already published work which shows the validity of our obtained results.…”
Section: Limiting Casesmentioning
confidence: 99%
“…This results shows a strong agreement with the already published work which shows the validity of our obtained results. For clear understanding the present solution have been compared with the already published work of Ahmad et al 54 using the graphical analysis which is given in figure 16 .…”
During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to further improve conventional base fluids thermal performance an increasing number of researchers have started considering structured nanoparticles suspension in one base fluid. As to make an example, when considering the suspension of three different nanoparticles in a single base fluid we have the so called “ternary hybrid nanofluid”. In the present study three different shaped nanoparticles are uniformly dispersed in blood. In particular, the three different shaped nanoparticles are spherical shaped ferric oxide $$\text{Fe}_{3} \text{O}_{4}$$
Fe
3
O
4
, platelet shaped zinc $$\left( \text{Zn} \right)$$
Zn
, and cylindrical shaped gold $$\left( \text{Au} \right)$$
Au
, which are considered in blood base fluid because of related advance pharmaceutical applications. Accordingly, we focused our attention on the sharp evaluation of heat transfer for the unsteady couple stress Casson tri-hybrid nanofluid flow in channel. In particular, we formulated the problem via momentum and energy equations in terms of partial differential equations equipped with realistic physical initial and boundary conditions. Moreover, we transformed classical model into their fractional counterparts by applying the Atangana–Baleanu time-fractional operator. Solutions to velocity and temperature equations have been obtained by using both the Laplace and the Fourier transforms, while the effect of physical parameters on velocity and temperature profiles, have been graphically analyzed exploiting MATHCAD. In particular, latter study clearly shows that for higher values of volume fraction $$\phi_{hnf}$$
ϕ
hnf
of the nanoparticles the fluid velocity declines, while the temperature rises for the higher values of volume fraction $$\phi_{hnf}$$
ϕ
hnf
of the nanoparticles. Using blood-based ternary hybrid nanofluid enhances the rate of heat transfer up-to 8.05%, spherical shaped $$\text{Fe}_{3} \text{O}_{4}$$
Fe
3
O
4
enhances up-to 4.63%, platelet shaped $$\left( \text{Zn} \right)$$
Zn
nanoparticles enhances up-to 8.984% and cylindrical shaped gold $$\left( \text{Au} \right)$$
Au
nanoparticles enhances up-to 10.407%.
“…The comparative analysis between the present obtained solutions and solutions obtained by Ahmad et al 54 is highlighted in Fig. 16 .…”
Section: Resultsmentioning
confidence: 62%
“…17 . Figure 16 Comparison between the present solutions and Ahmad et al 54 when , , , , , , and . Figure 17 Comparison between the present solutions and Arif et al [A] when , , , , and .…”
Section: Resultsmentioning
confidence: 77%
“…In the view of assumptions considered in this study, the governing equations along with IC’s and BC’s which are explained in 2 , 54 . Therefore, we have: where represents velocity and temperature, represents Casson parameter and couple stress parameter respectively.…”
Section: Mathematical Modeling and Solution Of The Problemmentioning
confidence: 99%
“…This section provides a limiting case by putting the effect of some involved parameters such as external pressure and the volume fraction of the nanoparticles then our obtained solutions reduced to the solutions obtained by Ahmad et al 54 . This results shows a strong agreement with the already published work which shows the validity of our obtained results.…”
Section: Limiting Casesmentioning
confidence: 99%
“…This results shows a strong agreement with the already published work which shows the validity of our obtained results. For clear understanding the present solution have been compared with the already published work of Ahmad et al 54 using the graphical analysis which is given in figure 16 .…”
During last decades the research of nanofluid is of great interest all over the World, particularly because of its thermal applications in engineering, and biological sciences. Although nanofluid performance is well appreciate and showed good results in the heat transport phenomena, to further improve conventional base fluids thermal performance an increasing number of researchers have started considering structured nanoparticles suspension in one base fluid. As to make an example, when considering the suspension of three different nanoparticles in a single base fluid we have the so called “ternary hybrid nanofluid”. In the present study three different shaped nanoparticles are uniformly dispersed in blood. In particular, the three different shaped nanoparticles are spherical shaped ferric oxide $$\text{Fe}_{3} \text{O}_{4}$$
Fe
3
O
4
, platelet shaped zinc $$\left( \text{Zn} \right)$$
Zn
, and cylindrical shaped gold $$\left( \text{Au} \right)$$
Au
, which are considered in blood base fluid because of related advance pharmaceutical applications. Accordingly, we focused our attention on the sharp evaluation of heat transfer for the unsteady couple stress Casson tri-hybrid nanofluid flow in channel. In particular, we formulated the problem via momentum and energy equations in terms of partial differential equations equipped with realistic physical initial and boundary conditions. Moreover, we transformed classical model into their fractional counterparts by applying the Atangana–Baleanu time-fractional operator. Solutions to velocity and temperature equations have been obtained by using both the Laplace and the Fourier transforms, while the effect of physical parameters on velocity and temperature profiles, have been graphically analyzed exploiting MATHCAD. In particular, latter study clearly shows that for higher values of volume fraction $$\phi_{hnf}$$
ϕ
hnf
of the nanoparticles the fluid velocity declines, while the temperature rises for the higher values of volume fraction $$\phi_{hnf}$$
ϕ
hnf
of the nanoparticles. Using blood-based ternary hybrid nanofluid enhances the rate of heat transfer up-to 8.05%, spherical shaped $$\text{Fe}_{3} \text{O}_{4}$$
Fe
3
O
4
enhances up-to 4.63%, platelet shaped $$\left( \text{Zn} \right)$$
Zn
nanoparticles enhances up-to 8.984% and cylindrical shaped gold $$\left( \text{Au} \right)$$
Au
nanoparticles enhances up-to 10.407%.
A magnetic field might interact with its surroundings, influencing chemical and physical processes in materials processing, heat exchangers, and other scientific study. Therefore, a computational study of non‐Newtonian (Casson) free convective MHD unsteady fluid flow has been highlighted in this article with mass and heat transit property through a vertical infinite porous plate. A sinusoidal boundary conditions as well as chemical reaction and thermal radiation have been considered. Using a collection of nondimensional variables, the flow related equations are also turned into nondimensional form. The EFDM algorithm is employed in order to arrive at a numerical solution via Compaq Visual Fortran. The reliability of the numerical solution has been confirmed using stability testing and convergence analysis. The whole system is convergent when the values of Prandtl number and Lewis number are greater than or equals to 0.075 and 0.025, respectively. A visual depiction of the impact of the pertinent factors on dimensionless velocity, temperature, and concentration profiles are displayed through graphical representation as well as with tabular representation. It has been inspected that when the magnetic component is regarded, it greatly affects the heat transfer factors of Casson nanofluid and the heat also rises when Eckert number, heat source and radiation parameter accelerate. It is also found that the Sherwood number is increased as the impact of chemical reaction parameter and the Lewis number, also the skin friction is decreased as the influence of porosity term got accelerated. The comparison of the current findings with the data that were previously published serves as the final stage in validating the present study.
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