Abstract
This article is intended to study the arterial blood flow with nanoparticles in a magnetic field due to the squeezing action of the heart, the study was treated as acasson nanofluid flowing between two parallel plates placed at a distance varying in time and under the influence of a uniform magnetic field with variable chemical reaction. Considering the following effects: viscous dissipation, generation of heat due to friction caused by shear in the flow, joule heating, brownian motion, and the influence of thermo-diffusion. Homotopy Perturbation Method is used to solve the nonlinear differential equations governing the problem. To verify the accuracy of the analytical method used, the results of the homotopy perturbation method (HPM) are compared with the results of the Numerical method using the fourth-order Runge–Kutta method (RK-4) and other results obtained in previous works so that the high accuracy of results is clear. Flow behaviour under the modifying involved physical parameters is also discussed and explained in detail in the form of graphs and tables. Through this study it is observed that magnetic field can be used as a control phenomenon in many flows as it normalizes the flow behaviour. Also, it is shown that positive and negative squeeze numbers have opposite effects on heat and mass transfer flow throughout all the cases. Further, the concentration field is a decreasing function of thermophoresis parameter. While, concentration profile enhances with raising brownian motion parameter. And various other important parameters were analyzed. Findings from this study can help engineers to improve and researchers to investigate faster and easier.
Highlights
Nanofluid is an advanced fluid with improved thermophysical properties that has been introduced in many applications for a better heat transfer process like nuclear reactors, biomedical applications[1] .The term "nanofluids" was introduced by Choi and Eastman [2] and refers to a base fluid have a low thermal conductivity such as water, ethylene glycol etc with suspended solid nanoparticles having high thermal conductive metals, such as, copper, aluminum, etc.modelling nanofluid flow and heat transfer can be classified into two main groups: single-phase and twophase model
In the single-phase model,the combination of nanoparticle and base fluid is considered as a single-phase mixture and the motion slip between nanoparticles and base fluid is not considered while, in the two-phase model, the nanoparticles cannot accompany fluid molecules due to certain slip mechanisms such as Brownian motion and thermophoresis, so the volume fraction of nanofluid may not be uniform anymore, and there would be a variable concentration of nanoparticles in a mixture
The effect of squeezing number ሺܵሻon velocity, temperature, and concentration profiles is illustrated in the Figs. 2 -5, it’s essential to notice that all figures are portrayed for the squeezing flow case ሺܵ ൏ Ͳሻ and the expanding flow case ሺܵ Ͳሻ
Summary
Nanofluid is an advanced fluid with improved thermophysical properties that has been introduced in many applications for a better heat transfer process like nuclear reactors, biomedical applications (cancer therapeutics, cryopreservation, and nanodrug delivery)[1] .The term "nanofluids" was introduced by Choi and Eastman [2] and refers to a base fluid have a low thermal conductivity such as water, ethylene glycol etc with suspended solid nanoparticles having high thermal conductive metals, such as, copper, aluminum, etc.modelling nanofluid flow and heat transfer can be classified into two main groups: single-phase and twophase model. Nanofluid is an advanced fluid with improved thermophysical properties that has been introduced in many applications for a better heat transfer process like nuclear reactors, biomedical applications (cancer therapeutics, cryopreservation, and nanodrug delivery). [1] .The term "nanofluids" was introduced by Choi and Eastman [2] and refers to a base fluid have a low thermal conductivity such as water, ethylene glycol etc with suspended solid nanoparticles having high thermal conductive metals, such as, copper, aluminum, etc. Modelling nanofluid flow and heat transfer can be classified into two main groups: single-phase and twophase model. The investigation of heat and mass transfer squeezing flow known a great attention because of its various applications. After Stefan's work, many researchers studied these flows for different cases and geometries.
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