Study of Al2O3/copper–water nanoparticle shape, slip effects, and heat transfer on steady physiological delivery of MHD hybrid nanofluid

This paper contains the analytical investigation of magnetohydrodynamic (MHD) flow of copper/Al2O3–water hybrid nanofluid with unstable peristaltic motion. Three different geometries (bricks, cylinder, and platelets) along with velocity and thermal slip conditions are studied in detail to reach the precise solution. Flow geometry of a non-uniform tube of finite length, experimental values of base fluid, and considered nanoparticles are taken into account to examine the theoretical investigation of formulated equations. Dimensionless control equations, which are subject to physically realistic boundary conditions, are closely studied to obtain precise results. The shape effects of nanoparticles on velocity, temperature distribution, and heat transfer on the length of the non-uniform tube with variation of the various flow parameters are discussed in a graphical description to understand the theoretical aspects to validate the medical analysis. The observations from the analysis state that copper/Al2O3–water carry maximum velocity for smaller values of slip parameter. Temperature distributions for heat absorption parameter are more significant as fluid flow accelerates when large values are chosen. Large values of thermal slip parameter yield enhancement in pressure gradient and Cu–water nanofluid has higher impact than hybrid nanofluid. Platelet-shaped nanoparticles of hybrid nanofluid have more significant effect on pressure gradient than cylinder- and brick-shaped nanoparticles of Cu–water nanofluid. An intrinsic property of peristaltic transport (i.e., trapping) is also discussed. The trapped bolus decreases for platelets and cylinder-shaped nanoparticles, whereas, the size of the trapped bolus increases for brick-shaped nanoparticles. This model is applicable to a drug delivery system and to design the micro-peristaltic pump for transporting nanofluids.

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First and Second Law Thermodynamic Analyses of Hybrid Nanofluid with Different Particle Shapes in a Microplate Heat Exchanger

Symmetry ◽

10.3390/sym13081466 ◽

2021 ◽

Vol 13 (8) ◽

pp. 1466

Author(s):

Kunal Sandip Garud ◽

Seong-Guk Hwang ◽

Taek-Kyu Lim ◽

Namwon Kim ◽

Moo-Yeon Lee

Keyword(s):

Heat Transfer ◽

Heat Exchanger ◽

Single Particle ◽

Performance Index ◽

Second Law ◽

Hybrid Nanofluid ◽

Bejan Number ◽

Fluid Temperature ◽

Shaped Nanoparticles ◽

Hybrid Nanofluids

The improvement in the quantitative and qualitative heat transfer performances of working fluids is trending research in the present time for heat transfer applications. In the present work, the first and second law analyses of a microplate heat exchanger with single-particle and hybrid nanofluids are conducted. The microplate heat exchanger with single-particle and hybrid nanofluids is analyzed using the computational fluid dynamics approach with symmetrical heat transfer and fluid flow analyses. The single-particle Al2O3 nanofluid and the hybrid Al2O3/Cu nanofluid are investigated for different nanoparticles shapes of sphere (Sp), oblate spheroid (OS), prolate spheroid (PS), blade (BL), platelet (PL), cylinder (CY) and brick (BR). The first law characteristics of NTU, effectiveness and performance index and the second characteristics of thermal, friction and total entropy generation rates and Bejan number are compared for Al2O3 and Al2O3/Cu nanofluids with considered different-shaped nanoparticles. The OS- and PL-shaped nanoparticles show superior and worse first and second law characteristics, respectively, for Al2O3 and Al2O3/Cu nanofluids. The hybrid nanofluid presents better first and second law characteristics compared to single-particle nanofluid for all nanoparticle shapes. The Al2O3/Cu nanofluid with OS-shaped nanoparticles depicts maximum values of performance index and Bejan number as 4.07 and 0.913, respectively. The first and second law characteristics of the best combination of the Al2O3/Cu nanofluid with OS-shaped nanoparticles are investigated for various volume fractions, different temperature and mass flow rate conditions of hot and cold fluids. The first and second law characteristics are optimum at higher hot fluid temperature, lower cold fluid temperature, lower hot and cold fluid mass flow rates. In addition, the first and second law characteristics have improved with increase in volume fraction.

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Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

Mathematics ◽

10.3390/math9060643 ◽

2021 ◽

Vol 9 (6) ◽

pp. 643

Author(s):

Nur Syazana Anuar ◽

Norfifah Bachok ◽

Ioan Pop

Keyword(s):

Heat Transfer ◽

Particle Interaction ◽

Stable Solution ◽

Velocity Slip ◽

Hybrid Nanofluid ◽

Thermal Slip ◽

Nanofluid Flow ◽

Flow And Heat Transfer ◽

Boundary Velocity ◽

Analysis Of Stability

The mathematical modeling of dusty Cu-Al2O3/water nanofluid flow driven by a permeable deformable sheet was explored numerically. Rather than no–slip conditions at the boundary, velocity slip and thermal slip were considered. To achieve the system of nonlinear ordinary differential equations (ODEs), we employed some appropriate transformations and solved them numerically using MATLAB software (built–in solver called bvp4c). The influences of relevant parameters on fluid flow and heat transfer characteristics are discussed and presented in graphs. The findings showed that double solutions appeared in the case of stretching and shrinking sheets which contributed to the analysis of stability. The stability analysis, therefore, confirmed that merely the first solution was a stable solution. The addition of nanometer-sized particles (Cu) was found to significantly strengthen the heat transfer rate of the dusty nanofluid. Meanwhile, an upsurge in the velocity and thermal slip was shown to decrease the local Nusselt number. The result also revealed that an increment of fluid particle interaction decreased the boundary layer thickness.

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Analytical Solution of MHD Stagnation-Point Flow and Heat Transfer of Casson Fluid over a Stretching Sheet with Partial Slip

ISRN Thermodynamics ◽

10.1155/2013/108264 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 19

Author(s):

Samir Kumar Nandy

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Stagnation Point ◽

Velocity Slip ◽

Casson Fluid ◽

Temperature Fields ◽

Partial Slip ◽

Thermal Slip ◽

Slip Parameter ◽

Flow And Heat Transfer

This paper investigates the hydromagnetic boundary layer flow and heat transfer of a non-Newtonian Casson fluid in the neighborhood of a stagnation point over a stretching surface in the presence of velocity and thermal slips at the boundary. The governing partial differential equations are transformed into nonlinear ordinary differential equations using similarity transformations. The analytic solutions are developed by a homotopy analysis method (HAM). The results pertaining to the present study indicate that the flow and temperature fields are significantly influenced by Casson parameter (), the magnetic parameter , the velocity slip parameter , and the thermal slip parameter . An increase in the velocity slip parameter causes decrease in the flow velocity, while an increase in the value of the thermal slip parameter causes increase in the temperature of the fluid. It is also observed that the velocity at a point decreases with increase in .

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Dual Solutions and Stability Analysis of Magnetized Hybrid Nanofluid with Joule Heating and Multiple Slip Conditions

Processes ◽

10.3390/pr8030332 ◽

2020 ◽

Vol 8 (3) ◽

pp. 332 ◽

Cited By ~ 3

Author(s):

Liang Yan ◽

Sumera Dero ◽

Ilyas Khan ◽

Irshad Ali Mari ◽

Dumitru Baleanu ◽

...

Keyword(s):

Heat Transfer ◽

Stability Analysis ◽

Differential Equations ◽

Heat Transfer Rate ◽

Joule Heating ◽

Transfer Rate ◽

Numerical Results ◽

Eckert Number ◽

Hybrid Nanofluid ◽

Thermal Slip

This paper investigates the steady, two dimensional, and magnetohydrodynamic flow of copper and alumina/water hybrid nanofluid on a permeable exponentially shrinking surface in the presence of Joule heating, velocity slip, and thermal slip parameters. Adopting the model of Tiwari and Das, the mathematical formulation of governing partial differential equations was constructed, which was then transformed into the equivalent system of non-linear ordinary differential equations by employing exponential similarity transformation variables. The resultant system was solved numerically using the BVP4C solver in the MATLAB software. For validation purposes, the obtained numerical results were compared graphically with those in previous studies, and found to be in good agreement, as the critical points are the same up to three decimal points. Based on the numerical results, it was revealed that dual solutions exist within specific ranges of the suction and magnetic parameters. Stability analysis was performed on both solutions in order to determine which solution(s) is/are stable. The analysis indicated that only the first solution is stable. Furthermore, it was also found that the temperature increases in both solutions when the magnetic parameter and Eckert number are increased, while it reduces as the thermal slip parameter rises. Furthermore, the coefficient of skin friction and the heat transfer rate increase for the first solution when the magnetic and the suction parameters are increased. Meanwhile, no change is noticed in the boundary layer separation for the various values of the Eckert number in the heat transfer rate.

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The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Mathematical Problems in Engineering ◽

10.1155/2017/3804751 ◽

2017 ◽

Vol 2017 ◽

pp. 1-12 ◽

Cited By ~ 6

Author(s):

Ahmed A. Afify

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Viscous Dissipation ◽

Chemical Reaction ◽

Transfer Rate ◽

Mass Transfer Rate ◽

Integration Scheme ◽

Thermal Slip ◽

Slip Parameter ◽

Casson Fluid Model

The impacts of multiple slips with viscous dissipation on the boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching surface have been investigated numerically. The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. Physical mechanisms responsible for Brownian motion and thermophoresis with chemical reaction are accounted for in the model. The governing nonlinear boundary layer equations through appropriate transformations are reduced into a set of nonlinear ordinary differential equations, which are solved numerically using a shooting method with fourth-order Runge-Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and an excellent agreement is obtained. The heat transfer rate is enhanced with generative chemical reaction and concentration slip parameter, whereas the reverse trend is observed with destructive chemical reaction and thermal slip parameter. It is also noticed that the mass transfer rate is boosted with destructive chemical reaction and thermal slip parameter. Further, the opposite influence is found with generative chemical reaction and concentration slip parameter.

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MHD Hybrid Nanofluid Flow Due to Rotating Disk with Heat Absorption and Thermal Slip Effects: An Application of Intelligent Computing

Coatings ◽

10.3390/coatings11121554 ◽

2021 ◽

Vol 11 (12) ◽

pp. 1554

Author(s):

Muhammad Shoaib ◽

Muhammad Asif Zahoor Raja ◽

Muhammad Touseef Sabir ◽

Kottakkaran Sooppy Nisar ◽

Wasim Jamshed ◽

...

Keyword(s):

Reynolds Number ◽

Fluid Flow ◽

Hartmann Number ◽

Flow System ◽

Hybrid Nanofluid ◽

Data Sets ◽

Heat Absorption ◽

Thermal Slip ◽

Slip Parameter ◽

Solution Methodology

The objective of this study is to explore the flow features and heat transfer properties of an MHD hybrid nanofluid between two parallel plates under the effects of joule heating and heat absorption/generation (MHD-HFRHT) by utilizing the computational strength of Levenberg–Marquardt Supervised Neural Networks (LM-SNNs). Similarity equations are utilized to reduce the governing PDEs into non-linear ODEs. A reference solution in the form of data sets for MHD-HFRHT flow is obtained by creating different scenarios by varying involved governing parameters such as the Hartman number, rotation parameter, Reynolds number, velocity slip parameter, thermal slip parameter and Prandtl number. These reference data sets for all scenarios are placed for training, validation and testing through LM-SNNs and the obtained results are then compared with reference output to validate the accuracy of the proposed solution methodology. AI-based computational strength with the applicability of LM-SNNs provides an accurate and reliable source for the analysis of the presented fluid-flow system, which has been tested and incorporated for the first time. The stability, performance and convergence of the proposed solution methodology are validated through the numerical and graphical results presented, based on mean square error, error histogram, regression plots and an error-correlation measurement. MSE values of up to the accuracy level of 1 × 10−11 established the worth and reliability of the computational technique. Due to an increase in the Hartmann number, a resistance was observed, resulting in a reduction in the velocity profile. This occurs as the Hartmann number measures the relative implication of drag force that derives from magnetic induction of the velocity of the fluid flow system. However, the Reynolds number accelerates in the velocity profile due to the dominating impact of inertial force.

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The numerical investigation of the effect of spanwise pressure gradient on heat transfer and a streamwise vortex embedded in a turbulent boundary layer

10.1615/ihtc12.1200 ◽

2002 ◽

Author(s):

InSub Lee ◽

Hong Sun Ryou ◽

Hei Cheon Yang ◽

Sang Kyoo Park

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Turbulent Boundary Layer ◽

Pressure Gradient ◽

Numerical Investigation ◽

Streamwise Vortex

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Approximate Analytical Analysis of Unsteady MHD Mixed Flow of Non-Newtonian Hybrid Nanofluid over a Stretching Surface

Fluids ◽

10.3390/fluids6040138 ◽

2021 ◽

Vol 6 (4) ◽

pp. 138

Author(s):

Ali Rehman ◽

Zabidin Salleh

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Base Fluid ◽

Research Work ◽

Hybrid Nanofluid ◽

Stretching Surface ◽

Optimal Homotopy Analysis Method ◽

Analytical Analysis ◽

Transfer Ratio ◽

The Impact

This paper analyses the two-dimensional unsteady and incompressible flow of a non-Newtonian hybrid nanofluid over a stretching surface. The nanofluid formulated in the present study is TiO2 + Ag + blood, and TiO2 + blood, where in this combination TiO2 + blood is the base fluid and TiO2 + Ag + blood represents the hybrid nanofluid. The aim of the present research work is to improve the heat transfer ratio because the heat transfer ratio of the hybrid nanofluid is higher than that of the base fluid. The novelty of the recent work is the approximate analytical analysis of the magnetohydrodynamics mixed non-Newtonian hybrid nanofluid over a stretching surface. This type of combination, where TiO2+blood is the base fluid and TiO2 + Ag + blood is the hybrid nanofluid, is studied for the first time in the literature. The fundamental partial differential equations are transformed to a set of nonlinear ordinary differential equations with the guide of some appropriate similarity transformations. The analytical approximate method, namely the optimal homotopy analysis method (OHAM), is used for the approximate analytical solution. The convergence of the OHAM for particular problems is also discussed. The impact of the magnetic parameter, dynamic viscosity parameter, stretching surface parameter and Prandtl number is interpreted through graphs. The skin friction coefficient and Nusselt number are explained in table form. The present work is found to be in very good agreement with those published earlier.

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Effect of Magnetic Field on the Forced Convective Heat Transfer of Water–Ethylene Glycol-Based Fe3O4 and Fe3O4–MWCNT Nanofluids

Applied Sciences ◽

10.3390/app11104683 ◽

2021 ◽

Vol 11 (10) ◽

pp. 4683

Author(s):

Areum Lee ◽

Chinnasamy Veerakumar ◽

Honghyun Cho

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Heat Transfer Coefficient ◽

Field Strength ◽

Ethylene Glycol ◽

Convective Heat Transfer ◽

Convective Heat ◽

Hybrid Nanofluid ◽

Forced Convective Heat Transfer ◽

The Magnetic Field

This paper discusses the forced convective heat transfer characteristics of water–ethylene glycol (EG)-based Fe3O4 nanofluid and Fe3O4–MWCNT hybrid nanofluid under the effect of a magnetic field. The results indicated that the convective heat transfer coefficient of magnetic nanofluids increased with an increase in the strength of the magnetic field. When the magnetic field strength was varied from 0 to 750 G, the maximum convective heat transfer coefficients were observed for the 0.2 wt% Fe3O4 and 0.1 wt% Fe3O4–MWNCT nanofluids, and the improvements were approximately 2.78% and 3.23%, respectively. The average pressure drops for 0.2 wt% Fe3O4 and 0.2 wt% Fe3O4–MWNCT nanofluids increased by about 4.73% and 5.23%, respectively. Owing to the extensive aggregation of nanoparticles by the external magnetic field, the heat transfer coefficient of the 0.1 wt% Fe3O4–MWNCT hybrid nanofluid was 5% higher than that of the 0.2 wt% Fe3O4 nanofluid. Therefore, the convective heat transfer can be enhanced by the dispersion stability of the nanoparticles and optimization of the magnetic field strength.

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Entropy Generation Analysis and Radiated Heat Transfer in MHD (Al2O3-Cu/Water) Hybrid Nanofluid Flow

Micromachines ◽

10.3390/mi12080887 ◽

2021 ◽

Vol 12 (8) ◽

pp. 887

Author(s):

Nabeela Parveen ◽

Muhammad Awais ◽

Saeed Ehsan Awan ◽

Wasim Ullah Khan ◽

Yigang He ◽

...

Keyword(s):

Heat Transfer ◽

Entropy Generation ◽

Magnetic Induction ◽

Axisymmetric Flow ◽

Computational Method ◽

Stability And Convergence ◽

Hybrid Nanofluid ◽

Physical Factors ◽

Induction Effect ◽

Entropy Generation Number

This research concerns the heat transfer and entropy generation analysis in the MHD axisymmetric flow of Al2O3-Cu/H2O hybrid nanofluid. The magnetic induction effect is considered for large magnetic Reynolds number. The influences of thermal radiations, viscous dissipation and convective temperature conditions over flow are studied. The problem is modeled using boundary layer theory, Maxwell’s equations and Fourier’s conduction law along with defined physical factors. Similarity transformations are utilized for model simplification which is analytically solved with the homotopy analysis method. The h-curves upto 20th order for solutions establishes the stability and convergence of the adopted computational method. Rheological impacts of involved parameters on flow variables and entropy generation number are demonstrated via graphs and tables. The study reveals that entropy in system of hybrid nanofluid affected by magnetic induction declines for [...]

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