Exact solution for unsteady free convection flow of Casson fluid in vertical channel

Qushairi, Mohamad Ahmad; Yeou, Jiann Lim; Shafie, Sharidan; Khan, İlyas; Ismail, Zulhilmi

doi:10.1051/matecconf/201818901007

Cited by 6 publications

(6 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Table 1 shows the thermophysical characteristics of blood as a base fluid and gold as nanoparticles. In numerical computations, the physical parameters have been set as 18 , 48 , 68 : β = 0.8, ϕ = 0.2, Gr = 1.0, ν f = 3 × 10 –3 , and the varied parameter values are shown in the figures.…”

Section: Discussionmentioning

confidence: 99%

“…Besides that, the natural convection flow of the various type of fluid between two vertical plates or passed through a channel has attracted researchers to investigate further its behaviour since it represents a cross-sectional cylinder. Narahari and Vijay 17 and Mohamad et al 18 considered the Newtonian fluid and Casson fluid flow past through a fixed channel. To resolve the issues, they all applied the Laplace transform technique.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Azmi

Mohamad

Jiann

et al. 2023

Sci Rep

Self Cite

View full text Add to dashboard Cite

Nano-cryosurgery is one of the effective ways to treat cancerous cells with minimum harm to healthy adjacent cells. Clinical experimental research consumes time and cost. Thus, developing a mathematical simulation model is useful for time and cost-saving, especially in designing the experiment. Investigating the Casson nanofluid's unsteady flow in an artery with the convective effect is the goal of the current investigation. The nanofluid is considered to flow in the blood arteries. Therefore, the slip velocity effect is concerned. Blood is a base fluid with gold (Au) nanoparticles dispersed in the base fluid. The resultant governing equations are solved by utilising the Laplace transform regarding the time and the finite Hankel transform regarding the radial coordinate. The resulting analytical answers for velocity and temperature are then displayed and visually described. It is found that the temperature enhancement occurred by arising nanoparticles volume fraction and time parameter. The blood velocity increases as the slip velocity, time parameter, thermal Grashof number, and nanoparticles volume fraction increase. Whereas the velocity decreases with the Casson parameter. Thus, by adding Au nanoparticles, the tissue thermal conductivity enhanced which has the consequence of freezing the tissue in nano-cryosurgery treatment significantly.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Azmi

Mohamad

Jiann

et al. 2023

Sci Rep

Self Cite

View full text Add to dashboard Cite

show abstract

“…Their research specifically focused on an electrically conducting Casson fluid within a vertical channel. Similarly, Mohamad et al, [17] conducted an investigation into unsteady free convection flow, specifically of a Casson fluid, within a vertical channel. These studies contribute to our understanding of the complex dynamics involved in free convection flows in channel geometries.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Solutions of Free Convection Flow of Casson Fluid in Channel with Accelerated Plate

Mohamad Riduan Hashim,

Zulkhibri Ismail,

Ahmad Qushairi Mohamad

et al. 2024

ARNHT

View full text Add to dashboard Cite

This research develops mathematical solutions for Casson fluid flow with free convective phenomena within channels with an accelerated plate. The study transforms the governing energy and momentum equations into the dimensionless form using appropriate variables. The Laplace transformation is used to acquire analytical solutions. Dimensionless parameters, such as the Prandtl number, Grashof number, accelerated parameter, and Casson fluid parameter, are determined, which are further investigated for their impacts on the flow and thermal behaviour. Visual representations of the mathematical results for velocity and temperature are presented using MATHCAD software through graphical plots. The study observes that fluid velocity increases with higher values of Gr but decreases with increased Pr. Additionally, temperature profiles exhibit a decrease with higher Prandtl numbers and an increase with time. The obtained results are validated by comparing them with published results in limiting cases, showing good agreement, and confirming the accuracy and reliability of the research outcomes.

show abstract

“…Human blood, juice, honey, jelly, and tomato sauce are a few examples of Casson fluid [7][8][9][10]. Inspired by the applications in various fields such as food processing and biotechnology, Mohamad et al, [11] investigated analytically Casson fluid flow past through a fixed channel with a free convection effect. Azmi et al, [12] extended the problem with an additional MHD effect.…”

Section: Introductionmentioning

confidence: 99%

Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity

Azmi

Mohamad

Jiann

et al. 2023

CFDL

View full text Add to dashboard Cite

Recently, fluid with fractional-order derivative model attracted many researchers to further study compared with the classical fluid mode since it is more precise and realistic. To imitate the applications of blood flow in narrow arteries, researchers focused on the fractional Casson fluid flow in the cylinder. However, most researchers solved the problems numerically and without considering the slip effect at the boundary. Thus, obtaining solutions analytically to the unsteady fractional Casson fluid flow in the slip cylinder with free convection is the goal of this study. The Caputo-Fabrizio fractional derivative approach is utilized to model this problem. By joining the approach of the Laplace transform and finite Hankel transform, the fractional governing equations are solved, and analytical solutions to the velocity and temperature profiles are gained. The fluid velocity rises as the slip velocity and Grashof number increase and it declines with the increment of the Casson parameter and Prandtl number. Increasing the fractional parameter will result in an increase in fluid velocity and temperature for a large time interval. The slip velocity effect influenced fluid flow, especially at the cylinder’s wall. These findings are beneficial to explore the more fractional-order derivative model and for studying the problems in biomedical engineering.

show abstract

Exact solution for unsteady free convection flow of Casson fluid in vertical channel

Cited by 6 publications

References 9 publications

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Unsteady natural convection flow of blood Casson nanofluid (Au) in a cylinder: nano-cryosurgery applications

Mathematical Solutions of Free Convection Flow of Casson Fluid in Channel with Accelerated Plate

Free Convection Caputo-Fabrizio Casson Blood Flow in the Cylinder with Slip Velocity

Contact Info

Product

Resources

About