Semi Analytical Solution of Heat Transfer of Magnetohydrodynamic Third-Grade Fluids Flowing Through Parallel Plates With Viscous Dissipation

Chaudhuri, Sumanta; Rathore, Sushil Kumar

doi:10.1115/1.4041682

Cited by 11 publications

(3 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Boundary conditions, required for solving Equation (44) and Equation ( 45) are the same as given by Equation (27) and Equations (28.1)- (28.3). Using Equations ( 44) and ( 45), the following equation involving only one variable u* is obtained:…”

Section: Solution For the Case Of Newtonian Fluidsmentioning

confidence: 99%

“…The technique may therefore have promising applications ranging from drug delivery, small size heat exchangers, and power generation to bio-medical devices, and so on. Some of the studies on EHD and MHD may be found in References [23][24][25][26][27][28][29][30][31][32]. In mixed convection flow and heat transfer also, the magnetic field can play a vital role by interacting with the complicated flow dynamics of the phenomena.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Magnetohydrodynamic mixed convection in a non‐Newtonian third‐grade fluid flowing through vertical parallel plates: A semianalytical study of flow and heat transfer

et al. 2022

Self Cite

View full text Add to dashboard Cite

Buoyancy assisted and buoyancy opposed mixed convection of a third‐grade fluid, which flows through vertically oriented parallel plates, subjected to uniform and constant wall heat fluxes, under the effect of an externally applied magnetic field, are investigated. The coupled, nonlinear conservation equations of momentum and energy are solved employing the collocation method (CM) and velocity and temperature distributions are solved semianalytically. The results produced by the CM and the results of exact solution are compared for the buoyancy assisted and buoyancy opposed flow of a Newtonian fluid through the vertically oriented parallel plates arrangement without the effect of the externally applied magnetic field. An excellent agreement is exhibited by demonstrating the efficacy of the CM. The effects of the third‐grade fluid parameter, Hartmann number, and mixed convection parameter on the dimensionless velocity, temperature, and Nusselt number are studied. The results imply that in the case of buoyancy assisted flow, an increment in the non‐Newtonian third‐grade fluid parameter causes a decrease in the fluid velocity near the plate walls, which finally causes an increase in the velocity in the central core of the plates. In buoyancy opposed flow, the effect of the same parameter is to oppose the flow reversal near the walls and with higher values of this parameter, it can totally prevent the flow reversal near the walls. The results of the present study can be useful in the fields of flow and heat transfer of various grades of polymers, paints, and food processing.

show abstract

Section: Solution For the Case Of Newtonian Fluidsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic mixed convection in a non‐Newtonian third‐grade fluid flowing through vertical parallel plates: A semianalytical study of flow and heat transfer

et al. 2022

Self Cite

View full text Add to dashboard Cite

show abstract

“…Hayat et al [16] discussed the impacts of binary chemical reactions and activation energy on the third grade nanofluid with hydro magnetic flux with convective conditions. Chaudhuri et al [17] investigated thermal transfer properties of magnetohydrodynamic (MHD) that is subjected to a uniform thermal flux in the wall, but of varying magnitudes, of a third-grade fluid between parallel plates. Hayat et al [18] explore the characteristics of a magnetohydrodynamic third-grade nanofluid with triggering energy and binary chemical reactions.…”

Section: Introductionmentioning

confidence: 99%

Thermo-bioconvection in stagnation point flow of third-grade nanofluid towards a stretching cylinder involving motile microorganisms

Muhammad¹,

Ullah²,

Waqas³

et al. 2020

Phys. Scr.

View full text Add to dashboard Cite

The intention of the current flow model is to investigate the significance of bioconvection in stagnation point flow of third grade nanofluid containing motile microorganisms past a radiative stretching cylinder. The impacts of activation energy and stagnation point flow are also considered. In addition the behavior of thermophoresis diffusion and Brownian motion are observed. Nanofluid can be developed by dispersing the nanosized particles into the regular fluid. Nano-sized solid materials for example carbides, grephene, metal and alloyed CNT have been utilized for the preparation of nanofluid. Physically, regular fluids have low thermal proficiency. Therefore, nano-size particles can be utilized to enhance the thermal conductivity of the host fluid. Nanofluids have many features in hybrid power engine, heat transfer, and can be used in cancer therapy and medicine. The formulated system of flow problems are transformed into dimensionless coupled ordinary differential expressions system via appropriate transformation. The systems of converted governing expressions are computed numerically by employing well known bvp4c solver in MATLAB software. The outcomes of emerging physical flow parameters on the velocity profile, volumetric concentration of then nanoparticles, rescaled density of the motile microorganisms and nanofluid temperature are elaborated graphically and numerically. Furthermore, velocity of third-grade fluid intensifies for higher values of third-grade fluid parameter and mixed convection parameter while opposite behavior is detected for buoyancy ratio parameter and mixed convection parameter. Temperature distribution grows for higher estimation of temperature ratio parameter and Biot number. Higher amount of Prandtl number and Lewis number decreases the concentration of nanoparticles. Concentration of microorganisms reduces by growing the values of velocity ratio parameter and bioconvection Lewis number.

show abstract

Flow Characteristics of Electromagnetohydrodynamics of a Third-Grade Fluid Through Large Parallel Plates with Moving Upper Plate

Chaudhuri¹,

Mohanty²,

Chakraborty³

et al. 2022

Recent Advances in Thermofluids and Manufacturing Engineering

View full text Add to dashboard Cite

Semi Analytical Solution of Heat Transfer of Magnetohydrodynamic Third-Grade Fluids Flowing Through Parallel Plates With Viscous Dissipation

Cited by 11 publications

References 12 publications

Magnetohydrodynamic mixed convection in a non‐Newtonian third‐grade fluid flowing through vertical parallel plates: A semianalytical study of flow and heat transfer

Magnetohydrodynamic mixed convection in a non‐Newtonian third‐grade fluid flowing through vertical parallel plates: A semianalytical study of flow and heat transfer

Thermo-bioconvection in stagnation point flow of third-grade nanofluid towards a stretching cylinder involving motile microorganisms

Flow Characteristics of Electromagnetohydrodynamics of a Third-Grade Fluid Through Large Parallel Plates with Moving Upper Plate

Contact Info

Product

Resources

About