Fully developed entropy optimized second order velocity slip MHD nanofluid flow with activation energy

Here magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials is discussed between two stretchable surfaces of rotating disks, where the both disks are rotating with altered angular frequencies and rates. Flow in permeable medium is designated by implementing Darcy–Forchheimer relation. The energy expression is discussed and modeled subject to various effects like dissipation, Ohmic heating (Joule heating), and heat source/sink. Two different types of nanoparticles, i.e. graphene oxide (GO) and titanium dioxide (TiO2), are utilized and H2O as a base fluid. Total entropy rate which depends on five different types of irreversibilities (i.e., heat, mass fluid friction, Ohmic heating and Darcy–Forchheimer or porosity) is calculated via thermodynamics law (second). Furthermore, binary chemical reaction is accounted for the analysis of mass with activation energy. Numerical solutions are found out with the help of shooting method. Behaviors of flow variables on the skin friction coefficients, velocity field, Nusselt numbers, temperature distribution, entropy generation, concentration, and Bejan number are plotted graphically and discussed. The results are compared with previous literature and found good agreement with them. Our obtained results illustrate that the entropy rate is more subject to rising Brinkman number.

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“…Recent advancements in flow mechanisms of nanofluid and hybrid nanofluid with various flow assumptions are listed in literature. 1–15…”

Section: Introductionmentioning

confidence: 99%

RETRACTED: Entropy optimized magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials between two stretchable disks

Khan

Alzahrani

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Moreover, Abbas et al. 22 examined the second-order velocity slip MHD nanofluid flow with activation energy.…”

Section: Introductionmentioning

confidence: 99%

Melting heat transfer of a hybrid nanofluid flow towards a stagnation point region with second-order slip

Waini

Ishak

Pop

2020

Proceedings of the Institution of Mechanical Engineers, Part E:

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This paper examines the behaviour of a hybrid nanofluid flow towards a stagnation point on a stretching or shrinking surface with second-order slip and melting heat transfer effects. Copper (Cu) and alumina (Al2O3) are considered as the hybrid nanoparticles while water as the base fluid. The governing equations are reduced to the similarity equations using similarity transformations. The resulting equations are programmed in MATLAB software through the bvp4c solver to obtain the numerical solutions. The results reveal that two solutions are possible for the shrinking case [Formula: see text], where the bifurcation of the solutions occurs in this region. Moreover, the heat transfer rate and the skin friction coefficient enhance with the rise of the melting parameter. Meanwhile, these quantities decrease for a smaller second-order slip parameter. The temporal stability analysis shows that only one of the two solutions is stable as time evolves.

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“…It enables a simultaneous consideration of temperature and velocity distributions, lumped into a single, scalar value that can be utilized to directly identify regions having high potential for HT improvement. Abbas et al 40 studied the entropy optimization effect on fully developed second‐order velocity slip of MHD nf flow influenced by activation energy. One of the outcomes of their study shows that the magnetic field significantly affects the flow field as well as entropy rate.…”

Section: Introductionmentioning

confidence: 99%

Entropy optimized Darcy‐Forchheimer slip flow of Fe3O4−CH2OH2 nanofluid past a stretching/shrinking rotating disk

Nayak¹,

Patra

Shaw

et al. 2020

Heat Trans

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Ferrofluids are made out of nanoscale ferromagnetic particles and known as colloidal liquids suspended on a bearer liquid, normally water (H2O) or an organic solvent like kerosene. Ferrofluid is utilized in rotary seals, computer hard drives, loudspeakers, magnetic resonance imaging, and so forth. The present article reveals the extent of effectiveness available from the investigation on entropy generation, thermal radiation, viscous dissipation on Darcy‐Forchheimer convective slip flow of normalF e 3 O 4 − ( C normalH 2 O H ) 2 nanofluid (nf) past stretching/shrinking rotating disk (RD) subject to suction. The concepts of different parameters and their effects on velocity, temperature, entropy generation number, and Bejan number profiles have been elaborated in this explanatory paper. The explanations using graphs and numerical tables help smoothen the understanding and strengthen the interpretations of the results of the study. The major eye‐catching outcome of the study is that the augmented slip parameter undermines the tangential velocity and fluid suction invites a diminutive radial velocity as well as temperature distribution due to stretching/shrinking RD. Enhanced Reynolds number peters out the entropy generation number for stretching RD, which was the goal of the study to be accomplished.

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Fully developed entropy optimized second order velocity slip MHD nanofluid flow with activation energy

Cited by 160 publications

References 24 publications

RETRACTED: Entropy optimized magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials between two stretchable disks

RETRACTED: Entropy optimized magnetohydrodynamics Darcy–Forchheimer second order velocity slip flow of nanomaterials between two stretchable disks

Melting heat transfer of a hybrid nanofluid flow towards a stagnation point region with second-order slip

Entropy optimized Darcy‐Forchheimer slip flow of Fe3O4−CH2OH2 nanofluid past a stretching/shrinking rotating disk

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