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  1. Journal of the Brazilian Society of Mechanical Sciences and Engineering
  2. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
  3. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 4, July 2015
  4. Creeping flow past rotating axi-symmetric isolated body-class of deformed sphere
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Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 40
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 6, November 2015
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 5, September 2015
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 4, July 2015
Smart tool, machine and special equipment: overview of the concept and application for the toolmaking factory of the future
Dynamic response of a frame-foundation-soil system: a coupled BEM–FEM procedure and a GPU implementation
Fatigue crack growth analysis of a homogeneous plate in the presence of multiple defects using extended isogeometric analysis
J-dominance and size requirements in strength-mismatched fracture specimens with weld centerline cracks
Short-time numerical analysis of steel–concrete composite beams
A real-time navigation system for autonomous underwater vehicle
Triflex: variable-configuration parallel manipulators with self-aligning
On nonlinear dynamics behavior and control of a new model of a magnetically levitated vibrating system, excited by an unbalanced DC motor of limited power supply
Nonlinear analysis of chatter in turning process using dimensionless groups
Distortional buckling resistance of cold-formed steel
Bayesian approach to identify the bit–rock interaction parameters of a drill-string dynamical model
Design to doc framework: a model to support aircraft direct operating cost reduction
Erratum to: Design to doc framework: a model to support aircraft direct operating cost reduction
Creeping flow past rotating axi-symmetric isolated body-class of deformed sphere
Lower pressure drop turbine blade trailing-edge cooling configuration
Three-dimensional LES modeling of induced gas motion under the influence of injection pressure and ambient density in an ultrahigh-pressure diesel injector
Second law of thermodynamics analysis of hydro-magnetic nano-fluid slip flow over a stretching permeable surface
RANS simulation of interceptor effect on hydrodynamic coefficients of longitudinal equations of motion of planing catamarans
Effect of an endoscope and rotation on the peristaltic flow involving a Jeffrey fluid with magnetic field
Transition to periodic unsteady and effects of Prandtl and Richardson numbers on the flow across a confined heated trapezoidal prism
Practical implementation aspects of Galerkin reduced order models based on proper orthogonal decomposition for computational fluid dynamics
2D lid-driven cavity flow simulation using GPU-CUDA with a high-order finite difference scheme
MHD boundary layer flow over an unsteady shrinking sheet: analytical and numerical approach
Experimental investigation of the convective heat transfer characteristics of TiO$_{2}$/distilled water nanofluids under constant heat flux boundary condition
Surface modifications in grinding AISI D3 steel using cryogenic cooling
Thermodynamic analysis of a transcritical CO$_{2}$/propylene cascade system with split unit in HT cycle
Reduced frequency effect on an unsteady compressible boundary layer over an oscillating supercritical airfoil
Studying sequences of resonant orbits to perform successive close approaches with the Moon
Effect of swirl on performance and emissions of CI engine in HCCI mode
An optimal immune therapy protocol under chemotherapy regime in non-Hodgkin’s lymphoma treatment
Analyzing the use of pins in safety bearings
Transverse vibration analysis of rotating porous beam with functionally graded microstructure using the differential transform method
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 3, May 2015
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 2, March 2015
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37, Issue 1, January 2015
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 35

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Creeping flow past rotating axi-symmetric isolated body-class of deformed sphere

Content Provider SpringerLink
Author Yadav, Supriya Yadav, Raja Ram Srivastava, Deepak Kumar
Copyright Year 2014
Abstract In a recent paper, Srivastava et al. (Int J Appl Math Mech 8:17–53, 2012) tackled the problem of steady Stokes flow around deformed sphere wherein author evaluated the general expression of drag with the help of method developed by Datta and Srivastava (Proc Indian Acad Sci Math Sci 109:441–452, 1999) in both situations when axially symmetric isolated body is placed under axial flow (along the axis of symmetry) and transverse flow(along perpendicular to axis of symmetry) corrected up to the second order of deformation parameter and applied those on to class of oblate bodies and to flat circular disk as a special case. In this paper, rotation of deformed sphere has been dealt in axial or longitudinal situation in which uniform stream is along the axis of symmetry under the no-slip boundary conditions. The general expression of torque in terms of axial Stokes drag (Srivastava et al., Int J Appl Math Mech 8:17–53, 2012) is produced with the help of method developed by Datta and Srivastava (Proc Indian Acad Sci Math Sci 109:441–452, 1999). The general form of deformed sphere, governed by polar equation, $$r = a(1 + \varepsilon \sum\nolimits_{k = 0}^{\infty } {d_{k} P_{k} ({ \cos } \theta )} )$$ (where, d $_{ k }$ is shape factor and P $_{ k }$ is Legendre function of first kind), is considered for the study. The expression of torque for slowly rotating deformed sphere is derived up to the order of O(ε $^{2}$). The class of oblate and prolate axisymmetric bodies is considered for the validation and further numerical discussion. All the expressions of moment coefficients are updated up to the order of O(ε $^{2}$), where ε is deformation parameter. In particular, up to the order of O(ε) and O(ε $^{2}$), the numerical values of moment coefficients and their ratio have been evaluated for the various values of deformation parameters(ε) and aspect ratio(b/a) for a class of oblate and prolate axially symmetric bodies including disk and thin slender elongated bodies as a special cases.
Starting Page 1199
Ending Page 1215
Page Count 17
File Format PDF
ISSN 16785878
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume Number 37
Issue Number 4
e-ISSN 18063691
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2014-10-11
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Moment Oblate and prolate spheroid Mechanical Engineering Deformed sphere Slow rotation Axially symmetric body Stokes flow
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering Automotive Engineering Mechanical Engineering Aerospace Engineering
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