2017
DOI: 10.1108/hff-01-2016-0030
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Boundary layer flow of a dusty fluid over a permeable shrinking surface

Abstract: Purpose The purpose of this paper is to numerically study the boundary layer problem for the case of two-dimensional flow of dusty fluid over a shrinking surface in the presence of the fluid suction at the surface. Design/methodology/approach The governing equations of the problem are reduced to the system of ordinary differential equations using the similarity transformation and then solved using the bvp4c method in the Matlab software. Findings The effects of the drag coefficient parameter L, the fluid–par… Show more

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Cited by 13 publications
(13 citation statements)
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“…Next, a new time-dependent, dimensionless variable had to be introduced. Hence, we have (Hamid et al [15]):…”
Section: New Similarity Transformationmentioning
confidence: 99%
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“…Next, a new time-dependent, dimensionless variable had to be introduced. Hence, we have (Hamid et al [15]):…”
Section: New Similarity Transformationmentioning
confidence: 99%
“…Due to the occurrence of nonuniqueness in the present research, the stability analysis was performed by referring to the work of Merkin [60], Weidman et al [61] and Harris et al [62]. These analyses have been implemented by other researchers too (see, for example, the work of Hamid et al [15], Anuar et al [27,28], Waini et al [43] and Khashi'ie et al [45]). Some important steps were implemented to identify the stability of solutions, i.e., (i) considering an unsteady governing equation; (ii) introducing new dimensionless time variables and similarity variables; (iii) implementing linear eigenvalue equations, and (iv) relaxing the boundary conditions.…”
Section: Stability Of the Solutionsmentioning
confidence: 99%
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“…Nonetheless, there is limited existing study into the two-phase flow that accounts for shrinking surface. In recent years, Hamid et al, [19] carried out stability analysis on dusty fluid while Santhosh and Raju [20] took into account the unsteady flow of dusty Carreau-Casson fluids over shrinking sheet. Very recently the investigation related to the non-Newtonian dusty fluid over a stretching sheet has been continued by Dasman et al, [21], Arifin et al, [22] and Aljabali et al, [23].…”
Section: Introductionmentioning
confidence: 99%
“…Sandeep et al [6] performed radiative flow and heat transfer analysis of a dusty nanofluid with electrically conducting dust particles (Cu, CuO); they studied how increased heat transfer promoted particle interactions. Pop et al [7] performed a two-dimensional boundary layer flow analysis of dusty fluids over a shrinking surface. Boundary layer approximation was utilized to formulate the problem, and the solution was obtained using the bvp4c MATLAB function.…”
Section: Introductionmentioning
confidence: 99%