11 research outputs found
On steady two-dimensional Carreau fluid flow over a wedge in the presence of infinite shear rate viscosity
No full textOn steady two-dimensional Carreau fluid flow over a wedge in the presence of infinite shear rate viscosity
No full textThis paper investigates the steady two-dimensional flow over a moving/static wedge in a Carreau viscosity model with infinite shear rate viscosity. Additionally, heat transfer analysis is performed. Using suitable transformations, nonlinear partial differential equations are transformed into ordinary differential equations and solved numerically using the Runge–Kutta Fehlberg method coupled with the shooting technique. The effects of various physical parameters on the velocity and temperature distributions are displayed graphically and discussed qualitatively. A comparison with the earlier reported results has been made with an excellent agreement. It is important to note that the increasing values of the wedge angle parameter enhance the fluid velocity while the opposite trend is observed for the temperature field for both shear thinning and thickening fluids. Generally, our results reveal that the velocity and temperature distributions are marginally influenced by the viscosity ratio parameter. Further, it is noted that augmented values of viscosity ratio parameter thin the momentum and thermal boundary layer thickness in shear thickening fluid and reverse is true for shear thinning fluid. Moreover, it is noticed that the velocity in case of moving wedge is higher than static wedge. Keywords: Static/moving wedge, Carreau viscosity model, Heat transfer analysis, Numerical computation
Scrutinization of 2D and mixed convection flow of generalized Newtonian fluid with nanoparticles and magnetic field
No full textIn this research paper we focuses on presenting the local non-similar solutions for two-dimensional steady and mixed convective flow of electrically conducting Carreau nano-fluid under the influence of Brownian motion and thermophoresis effects. This research paper also present the new mass flux boundary condition of nanoparticles. The governing partial differential equations are converted into the ordinary differential equations by using the local non-similar transformations named as Sparrow-Quack-Boerner local non-similar method. A numerical approach is used to investigate the local nonsimilar solutions of the entire problem. Outcomes for the skin friction, rate of heat and mass transfer have been obtained and discussed for parametric variations of the buoyancy parameter ξ, Magnetic parameter M, Weissenberg number We, viscosity ratio parameter β^{∗}, Brownian motion parameter N_{b}, thermophoresis parameter N_{t}, Prandtl number Pr and Schmidt number Sc. From the obtained results a considerable increase in the skin friction coefficient is observed with the increase in buoyancy parameter ξ. Also ξ shows the relative growth for the momentum and concentration profiles.The accepted manuscript in pdf format is listed with the files at the bottom of this page. The presentation of the authors' names and (or) special characters in the title of the manuscript may differ slightly between what is listed on this page and what is listed in the pdf file of the accepted manuscript; that in the pdf file of the accepted manuscript is what was submitted by the author
On radiative heat transfer in stagnation point flow of MHD Carreau fluid over a stretched surface
No full textOn radiative heat transfer in stagnation point flow of MHD Carreau fluid over a stretched surface
No full textThis paper investigates the behavior of MHD stagnation point flow of Carreau fluid in the presence of infinite shear rate viscosity. Additionally heat transfer analysis in the existence of non-linear radiation with convective boundary condition is performed. Moreover effects of Joule heating is observed and mathematical analysis is presented in the presence of viscous dissipation. The suitable transformations are employed to alter the leading partial differential equations to a set of ordinary differential equations. The subsequent non-straight common ordinary differential equations are solved numerically by an effective numerical approach specifically Runge-Kutta Fehlberg method alongside shooting technique. It is found that the higher values of Hartmann number M correspond to thickening of the thermal and thinning of momentum boundary layer thickness. The analysis further reveals that the fluid velocity is diminished by increasing the viscosity ratio parameter (β∗) and opposite trend is observed for temperature profile for both hydrodynamic and hydromagnetic flows. In addition the momentum boundary layer thickness is increased with velocity ratio parameter α and opposite is true for thermal boundary layer thickness. Keywords: Magnetohydrodynamic flow, Carreau viscosity model, Stagnation point flow, Heat transfer analysis, Non-linear radiation, Joule heating, Numerical computation
On multiple solutions of non-Newtonian Carreau fluid flow over an inclined shrinking sheet
No full textThis paper presents the multiple solutions of a non-Newtonian Carreau fluid flow over a nonlinear inclined shrinking surface in presence of infinite shear rate viscosity. The governing boundary layer equations are derived for the Carreau fluid with infinite shear rate viscosity. The suitable transformations are employed to alter the leading partial differential equations to a set of ordinary differential equations. The consequential non-linear ODEs are solved numerically by an active numerical approach namely Runge–Kutta Fehlberg fourth-fifth order method accompanied by shooting technique. Multiple solutions are presented graphically and results are shown for various physical parameters. It is important to state that the velocity and momentum boundary layer thickness reduce with increasing viscosity ratio parameter in shear thickening fluid while opposite trend is observed for shear thinning fluid. Another important observation is that the wall shear stress is significantly decreased by the viscosity ratio parameter β∗ for the first solution and opposite trend is observed for the second solution. Keywords: Dual solutions, Carreau fluid, Inclined shrinking sheet, Viscosity ratio parameter, Shooting metho
On multiple solutions of non-Newtonian Carreau fluid flow over an inclined shrinking sheet
No full textOnset mechanism of a female patient with Dent disease 2
No full textBackground Approximately 15% of patients with Dent disease have pathogenic variants in theOCRLgene on Xq25-26, a condition that is referred to as Dent disease 2 (Dent-2). Dent-2 patients sometimes show mild extrarenal features of Lowe syndrome, such as mild mental retardation, suggesting that Dent-2 represents a mild form of Lowe syndrome. To date, eight female patients with Lowe syndrome have been reported, but no female Dent-2 patients have been reported. Methods In this study, we performed genetic testing of the first female Dent-2 patient to detect the presence of anOCRLvariant. Aberrant splicing was demonstrated by in vivo, in vitro, and in silico assays, and skewed X-chromosome inactivation (XCI) in our patient and asymptomatic mothers of three Lowe patients with the heterozygousOCRLvariant was evaluated by HUMARA assays using genomic DNA and RNA expression analysis. Results Our patient had anOCRLheterozygous intronic variant of c.1603-3G > C in intron 15 that led to a 169-bp insertion in exon 16, yielding the truncating mutation r.1602_1603ins (169) (p.Val535Glyfs*6) in exon 16. HUMARA assays of leukocytes obtained from this patient demonstrated incompletely skewed XCI (not extremely skewed). On the other hand, the asymptomatic mothers of 3 Lowe patients demonstrated random XCI. These results may lead to our patient's Dent-2 phenotype. Conclusions This is the first report of a female patient clinically and genetically diagnosed with Dent-2 caused by anOCRLheterozygous splicing site variant and skewed XCI. Skewed XCI may be one of the factors associated with phenotypic diversity in female patients with Lowe syndrome and Dent-2
Notes about the Khazar Bricks, Blocks and Fortresses
No full textСтаттю присвячено критичному аналізові публікацій Г. Є. Афанасьєва про переважання візантійських мір довжини в розмірах хозарських цегли, блоків та фортець. Автор "Нотаток" в принципі підтримує тезу про вплив Візантії на виробництво цегли і блоків в Хозарському каганаті, але "теоретико-методологічний підхід" Г. Є. Афанасьєва до проблеми вважає неприйнятним. Автор не знаходить візантійського впливу на хозарську фортифікацію, за винятком фортець Саркел, Правобережна Цимлянська та Хумара.Статтю присвячено критичному аналізові публікацій Г. Є. Афанасьєва про переважання візантійських мір довжини в розмірах хозарських цегли, блоків та фортець. Автор "Нотаток" в принципі підтримує тезу про вплив Візантії на виробництво цегли і блоків в Хозарському каганаті, але "теоретико-методологічний підхід" Г. Є. Афанасьєва до проблеми вважає неприйнятним. Автор не знаходить візантійського впливу на хозарську фортифікацію, за винятком фортець Саркел, Правобережна Цимлянська та Хумара.This article is dedicated to the critical analysis of G. Ye. Afanasiev’s publications about predominating of the Byzantine linear measures in the sizes of the Khazar bricks, blocks and fortresses. The author of “Notes” in principle supports a thesis about influence of Byzantium on the production of bricks and blocks in the Khazar kaganate. However he considers that “theoretical-methological approach” of G. Ye. Afanasiev to the problem is unacceptable. Author does not find Byzantine influence on Khazar fortification, except for the fortresses of Sarkel, Right-Bank Tsymlyanskaya and Humara
Notes about the Khazar Bricks, Blocks and Fortresses
No full textСтаттю присвячено критичному аналізові публікацій Г. Є. Афанасьєва про переважання візантійських мір довжини в розмірах хозарських цегли, блоків та фортець. Автор "Нотаток" в принципі підтримує тезу про вплив Візантії на виробництво цегли і блоків в Хозарському каганаті, але "теоретико-методологічний підхід" Г. Є. Афанасьєва до проблеми вважає неприйнятним. Автор не знаходить візантійського впливу на хозарську фортифікацію, за винятком фортець Саркел, Правобережна Цимлянська та Хумара.Статтю присвячено критичному аналізові публікацій Г. Є. Афанасьєва про переважання візантійських мір довжини в розмірах хозарських цегли, блоків та фортець. Автор "Нотаток" в принципі підтримує тезу про вплив Візантії на виробництво цегли і блоків в Хозарському каганаті, але "теоретико-методологічний підхід" Г. Є. Афанасьєва до проблеми вважає неприйнятним. Автор не знаходить візантійського впливу на хозарську фортифікацію, за винятком фортець Саркел, Правобережна Цимлянська та Хумара.This article is dedicated to the critical analysis of G. Ye. Afanasiev’s publications about predominating of the Byzantine linear measures in the sizes of the Khazar bricks, blocks and fortresses. The author of “Notes” in principle supports a thesis about influence of Byzantium on the production of bricks and blocks in the Khazar kaganate. However he considers that “theoretical-methological approach” of G. Ye. Afanasiev to the problem is unacceptable. Author does not find Byzantine influence on Khazar fortification, except for the fortresses of Sarkel, Right-Bank Tsymlyanskaya and Humara
