2016
DOI: 10.1017/jmech.2016.9
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Unsteady Rotating Electroosmotic Flow Through a Slit Microchannel

Abstract: Using the method of Laplace transform, an analytical solution of unsteady rotating electroosmotic flow (EOF) through a parallel plate microchannel is presented. The analysis is based upon the linearized Poisson-Boltzmann equation describing electrical potential distribution and the Navies Stokes equation representing flow field in the rotating coordinate system. The discrepancy of present problem from classical EOF is that the velocity fields are two-dimensional. The rotating EOF velocity profile and flow rate… Show more

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Cited by 16 publications
(7 citation statements)
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“…The assumption that the two-layer flow is fully thermally developed leads to the vanishing of the unsteady part of Equation (17), ∂T/∂t * , hence producing the following energy equations for the conducting nanofluid and nonconducting nanofluid, respectively, along with their corresponding boundary conditions [26,55]:…”
Section: Two-layer Temperature Distribution and Heat Transfer Ratementioning
confidence: 99%
“…The assumption that the two-layer flow is fully thermally developed leads to the vanishing of the unsteady part of Equation (17), ∂T/∂t * , hence producing the following energy equations for the conducting nanofluid and nonconducting nanofluid, respectively, along with their corresponding boundary conditions [26,55]:…”
Section: Two-layer Temperature Distribution and Heat Transfer Ratementioning
confidence: 99%
“…The hydrodynamic behavior of EOF of different fluids is investigated in different microchannels, such as slit [5], rectangular [6,7], elliptic [8], and circular microchannels [9]. The core of the attention on EOF has shifted to the heat transfer characteristics of EOF [9,10,11], two-layer EOF [12], rotating EOF [13,14], and pressure effects on EOF [15]. In biological and chemical industries, biofluids, such as blood and DNA, solutions manipulated in microfluidic devices show nonlinear rheological behavior, such as the viscosity dependent on shear rate, which cannot be modeled by the linear constitutional relation.…”
Section: Introductionmentioning
confidence: 99%
“…The fundamental idea to enhance fluid flow using electroosmotic forcing in rotating microchannel may be attributed to Chang and Wang [11]; the authors considered fluid to be Newtonian in behaviour and found the existence of secondary flow velocities due to coriolis effect. Effect of transient and startup flow behaviour of rotational EOF has been studied analytically [12,13]. Rheological effects on the rotational EOF have been reported recently for power law fluid [14], third grade fluid [15], viscoelastic fluid [16,17], Eyring fluid [18] and viscoplastic material [19]; the papers show that rheology of the fluid significantly alters the flow behaviour of fluid in rotating EOF.…”
Section: Introductionmentioning
confidence: 99%