The Universal Critical Coordinate in the MHD Wall Jet

Jafarimoghaddam, Amin

doi:10.1007/s13369-019-03859-x

Cited by 5 publications

(4 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The boundary value equations ( 8)-( 10) admits multiple (dual) solutions so that a stability analysis is necessary to show which solution is stable and physically realizable in practice and which solution is not stable. In this respect, we follow Weidman et al (2006), Ros ca and Pop (2013a, 2013b) and Jafarimoghaddam (2019aJafarimoghaddam ( , 2019b. As in these papers, we introduce the new dimensionless time variable…”

Section: Stability Analysismentioning

confidence: 99%

“…The use of t is associated with an initial value problem and is consistent with the question of which solution will be physically realizable in nature. Following Jafarimoghaddam (2019aJafarimoghaddam ( , 2019b, it is held the postulate that the instable solutions those form the momentum equation indicate that the associated thermal solutions are also not subjected to physical grounds. Therefore, it makes sense to analyze only the momentum equation and thus, indication of the instability leads to the realization that the subsequent transport equation, i.e.…”

Section: Stability Analysismentioning

confidence: 99%

“…The high-order propagation of the perturbative solutions is an effective technique to obtain accurate results; however, the accuracy is restricted to the convergent region. In this respect, if the resulting perturbative functions are contracting, the solution will be accurate for a large domain (Jafarimoghaddam, 2019a(Jafarimoghaddam, , 2019b where the authors have successfully used the present technique to solve several problems. Here, we have solved up to the 100th order and identified that the resulting functions are not contracting; however, for the convergent region, the solution is highly accurate and indeed reveals novel information regarding the topology of the nonlinearity.…”

mentioning

confidence: 98%

See 2 more Smart Citations

Cross flow and heat transfer past a permeable stretching/shrinking sheet in a hybrid nanofluid

Roşca

Jafarimoghaddam³

et al. 2020

HFF

Self Cite

View full text Add to dashboard Cite

Purpose The purpose of this paper is to study the laminar boundary layer cross flow and heat transfer on a rotational stagnation-point flow over either a stretching or shrinking porous wall submerged in hybrid nanofluids. The involved boundary layers are of stream-wise type with stretching/shrinking process along the surface. Design/methodology/approach Using appropriate similarity variables the partial differential equations are reduced to ordinary (similarity) differential equations. The reduced system of equations is solved analytically (by high-order perturbed field propagation for small to moderate stretching/shrinking parameter and low-order perturbation for large stretching/shrinking parameter) and numerically using the function bvp4c from MATLAB for different values of the governing parameters. Findings It was found that the basic similarity equations admit dual (upper and lower branch) solutions for both stretching/shrinking surfaces. Moreover, performing a linear stability analysis, it was confirmed that the upper branch solution is realistic (physically realizable), while the lower branch solution is not physically realizable in practice. These dual solutions will be studied in the present paper. Originality/value The authors believe that all numerical results are new and original and have not been published before for the present problem.

show abstract

Section: Stability Analysismentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

mentioning

confidence: 98%

See 1 more Smart Citation

Cross flow and heat transfer past a permeable stretching/shrinking sheet in a hybrid nanofluid

Roşca

Jafarimoghaddam³

et al. 2020

HFF

Self Cite

View full text Add to dashboard Cite

show abstract

“…Further, exact temperature solutions for free two-dimensional and circular jets were presented in Turkyilmazoglu [33]. Furthermore, with suction/injection, Jafarimoghaddam [34,35] studied the propagation of the nonsimilar wall jet. Propagation of the nonsimilar wall jet flows with suction/injection has been investigated by Jafarimoghaddam et al [36].…”

Section: Introductionmentioning

confidence: 99%

Exact solutions for MHD and radiative wall jet hybrid nanofluid flow over a permeable surface with velocity slip and convective boundary conditions

et al. 2022

View full text Add to dashboard Cite

In this research, we investigated the wall jet problem for a hybrid nanofluid with MHD, thermal radiation, velocity slip, and convective boundary conditions. After converting the governing partial differential equations into nonlinear ordinary ones, by using the proper similarity transformations, they were theoretically solved in view of the hypergeometric function. Comparing the present results with those in the literature, a very good agreement was obtained for fixed values of the included parameters. For some included parameters, regions of physical solutions were presented. By deducing the critical and terminated values of the suction/injection parameter, dual solutions for the reduced skin friction coefficient have been determined. It was found that the hybrid nanofluid temperature is efficiently heated by increasing values of the moving wall, absolute value of the Biot number, and thermal radiation parameters. However, it is cooled by enlarging values of the velocity slip and suction parameters.

show abstract

Merkin and Needham wall jet problem for hybrid nanofluids with thermal energy

Aly

Pop

2020

European Journal of Mechanics - B/Fluids

View full text Add to dashboard Cite

The Universal Critical Coordinate in the MHD Wall Jet

Cited by 5 publications

References 22 publications

Cross flow and heat transfer past a permeable stretching/shrinking sheet in a hybrid nanofluid

Cross flow and heat transfer past a permeable stretching/shrinking sheet in a hybrid nanofluid

Exact solutions for MHD and radiative wall jet hybrid nanofluid flow over a permeable surface with velocity slip and convective boundary conditions

Merkin and Needham wall jet problem for hybrid nanofluids with thermal energy

Contact Info

Product

Resources

About